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Finding the Fourth Proportional to 698.73, 963.78 and 449.65

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Solution

The fourth proportional to 698.73, 963.78 and 449.65 is: 620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.73 : 963.78 = 449.65 : x
  2. Step 2: Convert to fraction form
    698.73/963.78 = 449.65/x
  3. Step 3: Cross multiply
    698.73x = 963.78 × 449.65
  4. Step 4: Simplify right side
    698.73x = 433,363.68
  5. Step 5: Solve for x
    x = 433,363.68/698.73
  6. Step 6: Final answer
    x = 620.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.