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Finding the Fourth Proportional to 799.62, 1,198.41 and 388.88

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Solution

The fourth proportional to 799.62, 1,198.41 and 388.88 is: 582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.62 : 1,198.41 = 388.88 : x
  2. Step 2: Convert to fraction form
    799.62/1,198.41 = 388.88/x
  3. Step 3: Cross multiply
    799.62x = 1,198.41 × 388.88
  4. Step 4: Simplify right side
    799.62x = 466,031.90
  5. Step 5: Solve for x
    x = 466,031.90/799.62
  6. Step 6: Final answer
    x = 582.82

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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.