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Finding the Fourth Proportional to 981.87, 1,472.81 and 433.92

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Solution

The fourth proportional to 981.87, 1,472.81 and 433.92 is: 650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.87 : 1,472.81 = 433.92 : x
  2. Step 2: Convert to fraction form
    981.87/1,472.81 = 433.92/x
  3. Step 3: Cross multiply
    981.87x = 1,472.81 × 433.92
  4. Step 4: Simplify right side
    981.87x = 639,079.55
  5. Step 5: Solve for x
    x = 639,079.55/981.87
  6. Step 6: Final answer
    x = 650.88

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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.