A 1 inch change in width is just over 12mm on each side to the inside of the rim lip at the bead.
Are the new rally rims steel or alloy? Alloys often have a rim lip that is twice as thick or more than a steel wheel, so add a few extra mm for that change if it is one and you are right around that 3/4" you are seeing.
Also, different manufacturers may have 7" rims that are plus or minus up to 1/4" different from each other at the bead. I think it is really X inches +- 1/8" which is why the Solo rules allow for up to 1/4" different than stock.
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