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Finding the Fourth Proportional to 799.17, 1,198.32 and 491.14

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Solution

The fourth proportional to 799.17, 1,198.32 and 491.14 is: 736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.17 : 1,198.32 = 491.14 : x
  2. Step 2: Convert to fraction form
    799.17/1,198.32 = 491.14/x
  3. Step 3: Cross multiply
    799.17x = 1,198.32 × 491.14
  4. Step 4: Simplify right side
    799.17x = 588,542.88
  5. Step 5: Solve for x
    x = 588,542.88/799.17
  6. Step 6: Final answer
    x = 736.44

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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.