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Finding the Fourth Proportional to 1,249.70, 1,874.15 and 519.09

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Solution

The fourth proportional to 1,249.70, 1,874.15 and 519.09 is: 778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.70 : 1,874.15 = 519.09 : x
  2. Step 2: Convert to fraction form
    1,249.70/1,874.15 = 519.09/x
  3. Step 3: Cross multiply
    1,249.70x = 1,874.15 × 519.09
  4. Step 4: Simplify right side
    1,249.70x = 972,858.90
  5. Step 5: Solve for x
    x = 972,858.90/1,249.70
  6. Step 6: Final answer
    x = 778.48

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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.