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Finding the Fourth Proportional to 1,092.12, 1,627.13 and 1,037.04

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Solution

The fourth proportional to 1,092.12, 1,627.13 and 1,037.04 is: 1,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.12 : 1,627.13 = 1,037.04 : x
  2. Step 2: Convert to fraction form
    1,092.12/1,627.13 = 1,037.04/x
  3. Step 3: Cross multiply
    1,092.12x = 1,627.13 × 1,037.04
  4. Step 4: Simplify right side
    1,092.12x = 1,687,398.90
  5. Step 5: Solve for x
    x = 1,687,398.90/1,092.12
  6. Step 6: Final answer
    x = 1,545.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.