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Finding the Fourth Proportional to 698.27, 1,046.26 and 424.44

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Solution

The fourth proportional to 698.27, 1,046.26 and 424.44 is: 635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.27 : 1,046.26 = 424.44 : x
  2. Step 2: Convert to fraction form
    698.27/1,046.26 = 424.44/x
  3. Step 3: Cross multiply
    698.27x = 1,046.26 × 424.44
  4. Step 4: Simplify right side
    698.27x = 444,067.24
  5. Step 5: Solve for x
    x = 444,067.24/698.27
  6. Step 6: Final answer
    x = 635.96

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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.