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Finding the Fourth Proportional to 1,631.38, 2,446.95 and 520.75

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Solution

The fourth proportional to 1,631.38, 2,446.95 and 520.75 is: 781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.38 : 2,446.95 = 520.75 : x
  2. Step 2: Convert to fraction form
    1,631.38/2,446.95 = 520.75/x
  3. Step 3: Cross multiply
    1,631.38x = 2,446.95 × 520.75
  4. Step 4: Simplify right side
    1,631.38x = 1,274,250.53
  5. Step 5: Solve for x
    x = 1,274,250.53/1,631.38
  6. Step 6: Final answer
    x = 781.09

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