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Finding the Fourth Proportional to 812.96, 1,121.29 and 517.97

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Solution

The fourth proportional to 812.96, 1,121.29 and 517.97 is: 714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.96 : 1,121.29 = 517.97 : x
  2. Step 2: Convert to fraction form
    812.96/1,121.29 = 517.97/x
  3. Step 3: Cross multiply
    812.96x = 1,121.29 × 517.97
  4. Step 4: Simplify right side
    812.96x = 580,787.68
  5. Step 5: Solve for x
    x = 580,787.68/812.96
  6. Step 6: Final answer
    x = 714.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.