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Finding the Fourth Proportional to 874.20, 1,206.36 and 542.73

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Solution

The fourth proportional to 874.20, 1,206.36 and 542.73 is: 748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.20 : 1,206.36 = 542.73 : x
  2. Step 2: Convert to fraction form
    874.20/1,206.36 = 542.73/x
  3. Step 3: Cross multiply
    874.20x = 1,206.36 × 542.73
  4. Step 4: Simplify right side
    874.20x = 654,727.76
  5. Step 5: Solve for x
    x = 654,727.76/874.20
  6. Step 6: Final answer
    x = 748.95

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Double scale
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1.5x scale

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.