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Finding the Fourth Proportional to 874.31, 1,206.59 and 542.61

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Solution

The fourth proportional to 874.31, 1,206.59 and 542.61 is: 748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.31 : 1,206.59 = 542.61 : x
  2. Step 2: Convert to fraction form
    874.31/1,206.59 = 542.61/x
  3. Step 3: Cross multiply
    874.31x = 1,206.59 × 542.61
  4. Step 4: Simplify right side
    874.31x = 654,705.09
  5. Step 5: Solve for x
    x = 654,705.09/874.31
  6. Step 6: Final answer
    x = 748.83

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Why These Related Problems?

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