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Finding the Fourth Proportional to 681.80, 1,022.10 and 608.90

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Solution

The fourth proportional to 681.80, 1,022.10 and 608.90 is: 912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.80 : 1,022.10 = 608.90 : x
  2. Step 2: Convert to fraction form
    681.80/1,022.10 = 608.90/x
  3. Step 3: Cross multiply
    681.80x = 1,022.10 × 608.90
  4. Step 4: Simplify right side
    681.80x = 622,356.69
  5. Step 5: Solve for x
    x = 622,356.69/681.80
  6. Step 6: Final answer
    x = 912.81

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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.