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Finding the Fourth Proportional to 1,251.38, 1,876.80 and 521.12

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Solution

The fourth proportional to 1,251.38, 1,876.80 and 521.12 is: 781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.38 : 1,876.80 = 521.12 : x
  2. Step 2: Convert to fraction form
    1,251.38/1,876.80 = 521.12/x
  3. Step 3: Cross multiply
    1,251.38x = 1,876.80 × 521.12
  4. Step 4: Simplify right side
    1,251.38x = 978,038.02
  5. Step 5: Solve for x
    x = 978,038.02/1,251.38
  6. Step 6: Final answer
    x = 781.57

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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.