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Finding the Fourth Proportional to 981.15, 1,471.76 and 493.94

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Solution

The fourth proportional to 981.15, 1,471.76 and 493.94 is: 740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.15 : 1,471.76 = 493.94 : x
  2. Step 2: Convert to fraction form
    981.15/1,471.76 = 493.94/x
  3. Step 3: Cross multiply
    981.15x = 1,471.76 × 493.94
  4. Step 4: Simplify right side
    981.15x = 726,951.31
  5. Step 5: Solve for x
    x = 726,951.31/981.15
  6. Step 6: Final answer
    x = 740.92

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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.