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Finding the Fourth Proportional to 981.22, 1,472.16 and 493.87

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Solution

The fourth proportional to 981.22, 1,472.16 and 493.87 is: 740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.22 : 1,472.16 = 493.87 : x
  2. Step 2: Convert to fraction form
    981.22/1,472.16 = 493.87/x
  3. Step 3: Cross multiply
    981.22x = 1,472.16 × 493.87
  4. Step 4: Simplify right side
    981.22x = 727,048.30
  5. Step 5: Solve for x
    x = 727,048.30/981.22
  6. Step 6: Final answer
    x = 740.97

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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.