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Finding the Fourth Proportional to 768.26, 1,060.13 and 519.49

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Solution

The fourth proportional to 768.26, 1,060.13 and 519.49 is: 716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.26 : 1,060.13 = 519.49 : x
  2. Step 2: Convert to fraction form
    768.26/1,060.13 = 519.49/x
  3. Step 3: Cross multiply
    768.26x = 1,060.13 × 519.49
  4. Step 4: Simplify right side
    768.26x = 550,729.56
  5. Step 5: Solve for x
    x = 550,729.56/768.26
  6. Step 6: Final answer
    x = 716.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.