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Finding the Fourth Proportional to 1,249.53, 1,874.94 and 519.13

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Solution

The fourth proportional to 1,249.53, 1,874.94 and 519.13 is: 778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.53 : 1,874.94 = 519.13 : x
  2. Step 2: Convert to fraction form
    1,249.53/1,874.94 = 519.13/x
  3. Step 3: Cross multiply
    1,249.53x = 1,874.94 × 519.13
  4. Step 4: Simplify right side
    1,249.53x = 973,337.60
  5. Step 5: Solve for x
    x = 973,337.60/1,249.53
  6. Step 6: Final answer
    x = 778.96

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Why These Related Problems?

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