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Finding the Fourth Proportional to 1,250.80, 1,874.52 and 519.52

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Solution

The fourth proportional to 1,250.80, 1,874.52 and 519.52 is: 778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.80 : 1,874.52 = 519.52 : x
  2. Step 2: Convert to fraction form
    1,250.80/1,874.52 = 519.52/x
  3. Step 3: Cross multiply
    1,250.80x = 1,874.52 × 519.52
  4. Step 4: Simplify right side
    1,250.80x = 973,850.63
  5. Step 5: Solve for x
    x = 973,850.63/1,250.80
  6. Step 6: Final answer
    x = 778.58

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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.