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Finding the Fourth Proportional to 971.43, 1,456.82 and 560.76

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Solution

The fourth proportional to 971.43, 1,456.82 and 560.76 is: 840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.43 : 1,456.82 = 560.76 : x
  2. Step 2: Convert to fraction form
    971.43/1,456.82 = 560.76/x
  3. Step 3: Cross multiply
    971.43x = 1,456.82 × 560.76
  4. Step 4: Simplify right side
    971.43x = 816,926.38
  5. Step 5: Solve for x
    x = 816,926.38/971.43
  6. Step 6: Final answer
    x = 840.95

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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.