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Finding the Fourth Proportional to 981.15, 1,471.68 and 493.83

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Solution

The fourth proportional to 981.15, 1,471.68 and 493.83 is: 740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.15 : 1,471.68 = 493.83 : x
  2. Step 2: Convert to fraction form
    981.15/1,471.68 = 493.83/x
  3. Step 3: Cross multiply
    981.15x = 1,471.68 × 493.83
  4. Step 4: Simplify right side
    981.15x = 726,759.73
  5. Step 5: Solve for x
    x = 726,759.73/981.15
  6. Step 6: Final answer
    x = 740.72

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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.