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Finding the Fourth Proportional to 981.92, 1,472.06 and 461.66

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Solution

The fourth proportional to 981.92, 1,472.06 and 461.66 is: 692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.92 : 1,472.06 = 461.66 : x
  2. Step 2: Convert to fraction form
    981.92/1,472.06 = 461.66/x
  3. Step 3: Cross multiply
    981.92x = 1,472.06 × 461.66
  4. Step 4: Simplify right side
    981.92x = 679,591.22
  5. Step 5: Solve for x
    x = 679,591.22/981.92
  6. Step 6: Final answer
    x = 692.10

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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.