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Finding the Fourth Proportional to 681.56, 937.40 and 591.44

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Solution

The fourth proportional to 681.56, 937.40 and 591.44 is: 813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.56 : 937.40 = 591.44 : x
  2. Step 2: Convert to fraction form
    681.56/937.40 = 591.44/x
  3. Step 3: Cross multiply
    681.56x = 937.40 × 591.44
  4. Step 4: Simplify right side
    681.56x = 554,415.86
  5. Step 5: Solve for x
    x = 554,415.86/681.56
  6. Step 6: Final answer
    x = 813.45

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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.