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Finding the Fourth Proportional to 799.20, 1,198.56 and 414.24

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Solution

The fourth proportional to 799.20, 1,198.56 and 414.24 is: 621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.20 : 1,198.56 = 414.24 : x
  2. Step 2: Convert to fraction form
    799.20/1,198.56 = 414.24/x
  3. Step 3: Cross multiply
    799.20x = 1,198.56 × 414.24
  4. Step 4: Simplify right side
    799.20x = 496,491.49
  5. Step 5: Solve for x
    x = 496,491.49/799.20
  6. Step 6: Final answer
    x = 621.24

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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.