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Finding the Fourth Proportional to 812.94, 1,122.17 and 616.92

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Solution

The fourth proportional to 812.94, 1,122.17 and 616.92 is: 851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.94 : 1,122.17 = 616.92 : x
  2. Step 2: Convert to fraction form
    812.94/1,122.17 = 616.92/x
  3. Step 3: Cross multiply
    812.94x = 1,122.17 × 616.92
  4. Step 4: Simplify right side
    812.94x = 692,286.03
  5. Step 5: Solve for x
    x = 692,286.03/812.94
  6. Step 6: Final answer
    x = 851.58

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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.