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Finding the Fourth Proportional to 1,249.97, 1,874.54 and 519.35

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Solution

The fourth proportional to 1,249.97, 1,874.54 and 519.35 is: 778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.97 : 1,874.54 = 519.35 : x
  2. Step 2: Convert to fraction form
    1,249.97/1,874.54 = 519.35/x
  3. Step 3: Cross multiply
    1,249.97x = 1,874.54 × 519.35
  4. Step 4: Simplify right side
    1,249.97x = 973,534.27
  5. Step 5: Solve for x
    x = 973,534.27/1,249.97
  6. Step 6: Final answer
    x = 778.85

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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.