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Finding the Fourth Proportional to 874.70, 1,206.37 and 542.49

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Solution

The fourth proportional to 874.70, 1,206.37 and 542.49 is: 748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.70 : 1,206.37 = 542.49 : x
  2. Step 2: Convert to fraction form
    874.70/1,206.37 = 542.49/x
  3. Step 3: Cross multiply
    874.70x = 1,206.37 × 542.49
  4. Step 4: Simplify right side
    874.70x = 654,442.31
  5. Step 5: Solve for x
    x = 654,442.31/874.70
  6. Step 6: Final answer
    x = 748.19

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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.