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Finding the Fourth Proportional to 812.78, 1,121.27 and 517.86

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Solution

The fourth proportional to 812.78, 1,121.27 and 517.86 is: 714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.78 : 1,121.27 = 517.86 : x
  2. Step 2: Convert to fraction form
    812.78/1,121.27 = 517.86/x
  3. Step 3: Cross multiply
    812.78x = 1,121.27 × 517.86
  4. Step 4: Simplify right side
    812.78x = 580,665.73
  5. Step 5: Solve for x
    x = 580,665.73/812.78
  6. Step 6: Final answer
    x = 714.42

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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.