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Finding the Fourth Proportional to 812.22, 1,121.10 and 517.38

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Solution

The fourth proportional to 812.22, 1,121.10 and 517.38 is: 714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.22 : 1,121.10 = 517.38 : x
  2. Step 2: Convert to fraction form
    812.22/1,121.10 = 517.38/x
  3. Step 3: Cross multiply
    812.22x = 1,121.10 × 517.38
  4. Step 4: Simplify right side
    812.22x = 580,034.72
  5. Step 5: Solve for x
    x = 580,034.72/812.22
  6. Step 6: Final answer
    x = 714.13

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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.