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Finding the Fourth Proportional to 1,689.73, 2,532.72 and 702.00

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Solution

The fourth proportional to 1,689.73, 2,532.72 and 702.00 is: 1,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.73 : 2,532.72 = 702.00 : x
  2. Step 2: Convert to fraction form
    1,689.73/2,532.72 = 702.00/x
  3. Step 3: Cross multiply
    1,689.73x = 2,532.72 × 702.00
  4. Step 4: Simplify right side
    1,689.73x = 1,777,957.31
  5. Step 5: Solve for x
    x = 1,777,957.31/1,689.73
  6. Step 6: Final answer
    x = 1,052.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.