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Finding the Fourth Proportional to 800.31, 1,198.92 and 491.26

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Solution

The fourth proportional to 800.31, 1,198.92 and 491.26 is: 735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.31 : 1,198.92 = 491.26 : x
  2. Step 2: Convert to fraction form
    800.31/1,198.92 = 491.26/x
  3. Step 3: Cross multiply
    800.31x = 1,198.92 × 491.26
  4. Step 4: Simplify right side
    800.31x = 588,978.44
  5. Step 5: Solve for x
    x = 588,978.44/800.31
  6. Step 6: Final answer
    x = 735.94

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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.