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Finding the Fourth Proportional to 698.73, 963.80 and 449.96

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Solution

The fourth proportional to 698.73, 963.80 and 449.96 is: 620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.73 : 963.80 = 449.96 : x
  2. Step 2: Convert to fraction form
    698.73/963.80 = 449.96/x
  3. Step 3: Cross multiply
    698.73x = 963.80 × 449.96
  4. Step 4: Simplify right side
    698.73x = 433,666.07
  5. Step 5: Solve for x
    x = 433,666.07/698.73
  6. Step 6: Final answer
    x = 620.65

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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.