Answer:
If the property was assessed for tax purposes at 50% of its market value and the tax rate was $4.90 per $100, the tax on the property would be calculated as follows:
Tax = (market value * 50%) * (tax rate / 100) = market value * (tax rate / 200)
If the tax rate increased by $637, the new tax on the property would be:
New tax = market value * ((tax rate + $637) / 200)
Since the tax on the property is constant, we can set the original and new tax equations equal to each other and solve for the market value:
market value * (tax rate / 200) = market value * ((tax rate + $637) / 200)
Dividing both sides by the market value and rearranging the terms, we find that:
(tax rate / 200) = ((tax rate + $637) / 200)
Solving for the tax rate, we find that:
tax rate = $637
Since the property was assessed for tax purposes at 50% of its market value, the market value of the property is equal to twice the tax rate. Therefore, the market value of the property increased by 2 * $637 = $1274.
Step-by-step explanation: