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Finding the Fourth Proportional to 1,249.89, 1,874.90 and 519.54

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Solution

The fourth proportional to 1,249.89, 1,874.90 and 519.54 is: 779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.89 : 1,874.90 = 519.54 : x
  2. Step 2: Convert to fraction form
    1,249.89/1,874.90 = 519.54/x
  3. Step 3: Cross multiply
    1,249.89x = 1,874.90 × 519.54
  4. Step 4: Simplify right side
    1,249.89x = 974,085.55
  5. Step 5: Solve for x
    x = 974,085.55/1,249.89
  6. Step 6: Final answer
    x = 779.34

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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.