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Finding the Fourth Proportional to 762.75, 1,144.13 and 519.14

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Solution

The fourth proportional to 762.75, 1,144.13 and 519.14 is: 778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.75 : 1,144.13 = 519.14 : x
  2. Step 2: Convert to fraction form
    762.75/1,144.13 = 519.14/x
  3. Step 3: Cross multiply
    762.75x = 1,144.13 × 519.14
  4. Step 4: Simplify right side
    762.75x = 593,963.91
  5. Step 5: Solve for x
    x = 593,963.91/762.75
  6. Step 6: Final answer
    x = 778.71

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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.