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Finding the Fourth Proportional to 981.71, 1,471.95 and 461.38

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Solution

The fourth proportional to 981.71, 1,471.95 and 461.38 is: 691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.71 : 1,471.95 = 461.38 : x
  2. Step 2: Convert to fraction form
    981.71/1,471.95 = 461.38/x
  3. Step 3: Cross multiply
    981.71x = 1,471.95 × 461.38
  4. Step 4: Simplify right side
    981.71x = 679,128.29
  5. Step 5: Solve for x
    x = 679,128.29/981.71
  6. Step 6: Final answer
    x = 691.78

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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.