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Finding the Fourth Proportional to 757.30, 1,042.92 and 681.97

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Solution

The fourth proportional to 757.30, 1,042.92 and 681.97 is: 939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.30 : 1,042.92 = 681.97 : x
  2. Step 2: Convert to fraction form
    757.30/1,042.92 = 681.97/x
  3. Step 3: Cross multiply
    757.30x = 1,042.92 × 681.97
  4. Step 4: Simplify right side
    757.30x = 711,240.15
  5. Step 5: Solve for x
    x = 711,240.15/757.30
  6. Step 6: Final answer
    x = 939.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.