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Finding the Fourth Proportional to 981.68, 1,471.72 and 542.91

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Solution

The fourth proportional to 981.68, 1,471.72 and 542.91 is: 813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.68 : 1,471.72 = 542.91 : x
  2. Step 2: Convert to fraction form
    981.68/1,471.72 = 542.91/x
  3. Step 3: Cross multiply
    981.68x = 1,471.72 × 542.91
  4. Step 4: Simplify right side
    981.68x = 799,017.70
  5. Step 5: Solve for x
    x = 799,017.70/981.68
  6. Step 6: Final answer
    x = 813.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.