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Finding the Fourth Proportional to 698.28, 1,046.21 and 423.80

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Solution

The fourth proportional to 698.28, 1,046.21 and 423.80 is: 634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.28 : 1,046.21 = 423.80 : x
  2. Step 2: Convert to fraction form
    698.28/1,046.21 = 423.80/x
  3. Step 3: Cross multiply
    698.28x = 1,046.21 × 423.80
  4. Step 4: Simplify right side
    698.28x = 443,380.93
  5. Step 5: Solve for x
    x = 443,380.93/698.28
  6. Step 6: Final answer
    x = 634.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.