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Finding the Fourth Proportional to 1,213.82, 1,819.17 and 519.68

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Solution

The fourth proportional to 1,213.82, 1,819.17 and 519.68 is: 778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.82 : 1,819.17 = 519.68 : x
  2. Step 2: Convert to fraction form
    1,213.82/1,819.17 = 519.68/x
  3. Step 3: Cross multiply
    1,213.82x = 1,819.17 × 519.68
  4. Step 4: Simplify right side
    1,213.82x = 945,386.27
  5. Step 5: Solve for x
    x = 945,386.27/1,213.82
  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.