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Finding the Fourth Proportional to 874.13, 1,206.06 and 542.57

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Solution

The fourth proportional to 874.13, 1,206.06 and 542.57 is: 748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.13 : 1,206.06 = 542.57 : x
  2. Step 2: Convert to fraction form
    874.13/1,206.06 = 542.57/x
  3. Step 3: Cross multiply
    874.13x = 1,206.06 × 542.57
  4. Step 4: Simplify right side
    874.13x = 654,371.97
  5. Step 5: Solve for x
    x = 654,371.97/874.13
  6. Step 6: Final answer
    x = 748.60

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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.