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Finding the Fourth Proportional to 874.08, 1,206.24 and 542.40

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Solution

The fourth proportional to 874.08, 1,206.24 and 542.40 is: 748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.08 : 1,206.24 = 542.40 : x
  2. Step 2: Convert to fraction form
    874.08/1,206.24 = 542.40/x
  3. Step 3: Cross multiply
    874.08x = 1,206.24 × 542.40
  4. Step 4: Simplify right side
    874.08x = 654,264.58
  5. Step 5: Solve for x
    x = 654,264.58/874.08
  6. Step 6: Final answer
    x = 748.52

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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.