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Finding the Fourth Proportional to 622.38, 934.03 and 616.92

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Solution

The fourth proportional to 622.38, 934.03 and 616.92 is: 925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.38 : 934.03 = 616.92 : x
  2. Step 2: Convert to fraction form
    622.38/934.03 = 616.92/x
  3. Step 3: Cross multiply
    622.38x = 934.03 × 616.92
  4. Step 4: Simplify right side
    622.38x = 576,219.06
  5. Step 5: Solve for x
    x = 576,219.06/622.38
  6. Step 6: Final answer
    x = 925.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.