On my Mac Pro I'm running Mountain Lion. With OS X I can run my Windows 7 partition using VMWare. Is it possible to run my Mac OS X partition in Windows 7 running VMWare or any other virtual machine application out there? If so, could someone point me in the right direction?
Here is a quick summary of running OS X on non apple hardware with (and also without) support from virtualization such as VMware.
Possible - yes
Supported, licensed, intended - no
Legal - you'll need a lawyer to help with that in your specific location.
So, as long as the hardware was Mac you would be probably licensed for Lion and later OS X to run visually no matter what intermediary OS you used as part of the virtualization chain. The how isn't going to be easy since you'll have to defeat either VMWare's checks to prevent any Windows person from running OS X or OS X's checks to ensure it's running on Mac hardware.
Several versions of VMware and VirtualBox support installing Mac OS, but it doesn't work very fluent due to the lack of "QE/CI", which is a technology to accelerate graphics (for e.g. you wont have the transparent bar at the top and the cursor will probably be a bit laggy).
However according to Apple's license agreement you're only allowed to install Mac on Apple hardware. As long as your Windows 7 runs on a Mac and from within this Windows you install Mac OS it's ok (I know from VMware ESXi that it checks if it is running on Apple hardware otherwise you won't be able to install Mac OS in a virtual machine).