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Finding the Fourth Proportional to 812.33, 1,121.12 and 497.61

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Solution

The fourth proportional to 812.33, 1,121.12 and 497.61 is: 686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.33 : 1,121.12 = 497.61 : x
  2. Step 2: Convert to fraction form
    812.33/1,121.12 = 497.61/x
  3. Step 3: Cross multiply
    812.33x = 1,121.12 × 497.61
  4. Step 4: Simplify right side
    812.33x = 557,882.70
  5. Step 5: Solve for x
    x = 557,882.70/812.33
  6. Step 6: Final answer
    x = 686.77

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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.