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If you resample your image, setting the width to 750, the height will adjust to 285.  Now by unchecking "constrain proportions" you can set the height and width to whatever you want, but the image will not look the same.  If you change the proportions of an image, the appearance has to adapt.  There's no way around that.

In order to achieve 120 pixel height, without stretching the width of the image, you have to accept the constrained proportions of 316 x 120.  That's going to leave a lot of blank space for your 750 goal.  So what I'm suggesting is that you resample the image to 316 x 120 and then add black (or any color) to both sides of the image by adjusting the canvas size.  If you don't want to leave so much blank space in your image and you don't mind cropping some of the height in your image, you can use the crop tool (set at proportions closer to 755 x 120) and then use the adjust canvas size command.

If you post your image, we might be able to come up with some more ideas to make your picture look the way you want it to.

PS  I forget to say it earlier, but welcome to the board