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Finding the Fourth Proportional to 641.25, 966.92 and 520.97

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Solution

The fourth proportional to 641.25, 966.92 and 520.97 is: 785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.25 : 966.92 = 520.97 : x
  2. Step 2: Convert to fraction form
    641.25/966.92 = 520.97/x
  3. Step 3: Cross multiply
    641.25x = 966.92 × 520.97
  4. Step 4: Simplify right side
    641.25x = 503,731.80
  5. Step 5: Solve for x
    x = 503,731.80/641.25
  6. Step 6: Final answer
    x = 785.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.