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Finding the Fourth Proportional to 1,249.18, 1,872.54 and 519.16

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Solution

The fourth proportional to 1,249.18, 1,872.54 and 519.16 is: 778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.18 : 1,872.54 = 519.16 : x
  2. Step 2: Convert to fraction form
    1,249.18/1,872.54 = 519.16/x
  3. Step 3: Cross multiply
    1,249.18x = 1,872.54 × 519.16
  4. Step 4: Simplify right side
    1,249.18x = 972,147.87
  5. Step 5: Solve for x
    x = 972,147.87/1,249.18
  6. Step 6: Final answer
    x = 778.23

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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.