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Finding the Fourth Proportional to 681.47, 1,020.46 and 449.66

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Solution

The fourth proportional to 681.47, 1,020.46 and 449.66 is: 673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.47 : 1,020.46 = 449.66 : x
  2. Step 2: Convert to fraction form
    681.47/1,020.46 = 449.66/x
  3. Step 3: Cross multiply
    681.47x = 1,020.46 × 449.66
  4. Step 4: Simplify right side
    681.47x = 458,860.04
  5. Step 5: Solve for x
    x = 458,860.04/681.47
  6. Step 6: Final answer
    x = 673.34

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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.