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Finding the Fourth Proportional to 874.52, 1,206.37 and 542.78

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Solution

The fourth proportional to 874.52, 1,206.37 and 542.78 is: 748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.52 : 1,206.37 = 542.78 : x
  2. Step 2: Convert to fraction form
    874.52/1,206.37 = 542.78/x
  3. Step 3: Cross multiply
    874.52x = 1,206.37 × 542.78
  4. Step 4: Simplify right side
    874.52x = 654,793.51
  5. Step 5: Solve for x
    x = 654,793.51/874.52
  6. Step 6: Final answer
    x = 748.75

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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.