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Finding the Fourth Proportional to 889.31, 1,331.53 and 596.41

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Solution

The fourth proportional to 889.31, 1,331.53 and 596.41 is: 892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.31 : 1,331.53 = 596.41 : x
  2. Step 2: Convert to fraction form
    889.31/1,331.53 = 596.41/x
  3. Step 3: Cross multiply
    889.31x = 1,331.53 × 596.41
  4. Step 4: Simplify right side
    889.31x = 794,132.99
  5. Step 5: Solve for x
    x = 794,132.99/889.31
  6. Step 6: Final answer
    x = 892.97

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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.