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Finding the Fourth Proportional to 1,092.49, 1,637.62 and 702.88

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Solution

The fourth proportional to 1,092.49, 1,637.62 and 702.88 is: 1,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.49 : 1,637.62 = 702.88 : x
  2. Step 2: Convert to fraction form
    1,092.49/1,637.62 = 702.88/x
  3. Step 3: Cross multiply
    1,092.49x = 1,637.62 × 702.88
  4. Step 4: Simplify right side
    1,092.49x = 1,151,044.49
  5. Step 5: Solve for x
    x = 1,151,044.49/1,092.49
  6. Step 6: Final answer
    x = 1,053.60

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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.