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Finding the Fourth Proportional to 1,249.18, 1,872.15 and 517.75

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Solution

The fourth proportional to 1,249.18, 1,872.15 and 517.75 is: 775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.18 : 1,872.15 = 517.75 : x
  2. Step 2: Convert to fraction form
    1,249.18/1,872.15 = 517.75/x
  3. Step 3: Cross multiply
    1,249.18x = 1,872.15 × 517.75
  4. Step 4: Simplify right side
    1,249.18x = 969,305.66
  5. Step 5: Solve for x
    x = 969,305.66/1,249.18
  6. Step 6: Final answer
    x = 775.95

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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.