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Finding the Fourth Proportional to 799.47, 1,102.49 and 519.78

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Solution

The fourth proportional to 799.47, 1,102.49 and 519.78 is: 716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.47 : 1,102.49 = 519.78 : x
  2. Step 2: Convert to fraction form
    799.47/1,102.49 = 519.78/x
  3. Step 3: Cross multiply
    799.47x = 1,102.49 × 519.78
  4. Step 4: Simplify right side
    799.47x = 573,052.25
  5. Step 5: Solve for x
    x = 573,052.25/799.47
  6. Step 6: Final answer
    x = 716.79

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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.