Loan payments of$$ $$700$ due three months ago and of$$ $$1000$ due today are to be paid by a payment of$$ $$800$ in two months and a final payment in five months. If$9\%$ interest is$$ allowed, and the focal date is five months from$$ now, what is the amount of the final$$ payment?

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Part $1$

The amount of each payment is $$$

$$

enter your response here.

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as$$ needed.$)$