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Finding the Fourth Proportional to 681.74, 939.92 and 588.14

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Solution

The fourth proportional to 681.74, 939.92 and 588.14 is: 810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.74 : 939.92 = 588.14 : x
  2. Step 2: Convert to fraction form
    681.74/939.92 = 588.14/x
  3. Step 3: Cross multiply
    681.74x = 939.92 × 588.14
  4. Step 4: Simplify right side
    681.74x = 552,804.55
  5. Step 5: Solve for x
    x = 552,804.55/681.74
  6. Step 6: Final answer
    x = 810.87

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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.