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Finding the Fourth Proportional to 981.74, 1,472.52 and 495.14

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Solution

The fourth proportional to 981.74, 1,472.52 and 495.14 is: 742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.74 : 1,472.52 = 495.14 : x
  2. Step 2: Convert to fraction form
    981.74/1,472.52 = 495.14/x
  3. Step 3: Cross multiply
    981.74x = 1,472.52 × 495.14
  4. Step 4: Simplify right side
    981.74x = 729,103.55
  5. Step 5: Solve for x
    x = 729,103.55/981.74
  6. Step 6: Final answer
    x = 742.66

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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.