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Finding the Fourth Proportional to 799.50, 1,198.17 and 387.82

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Solution

The fourth proportional to 799.50, 1,198.17 and 387.82 is: 581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.50 : 1,198.17 = 387.82 : x
  2. Step 2: Convert to fraction form
    799.50/1,198.17 = 387.82/x
  3. Step 3: Cross multiply
    799.50x = 1,198.17 × 387.82
  4. Step 4: Simplify right side
    799.50x = 464,674.29
  5. Step 5: Solve for x
    x = 464,674.29/799.50
  6. Step 6: Final answer
    x = 581.21

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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.