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Finding the Fourth Proportional to 885.44, 1,324.92 and 596

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Solution

The fourth proportional to 885.44, 1,324.92 and 596 is: 891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.44 : 1,324.92 = 596 : x
  2. Step 2: Convert to fraction form
    885.44/1,324.92 = 596/x
  3. Step 3: Cross multiply
    885.44x = 1,324.92 × 596
  4. Step 4: Simplify right side
    885.44x = 789,652.32
  5. Step 5: Solve for x
    x = 789,652.32/885.44
  6. Step 6: Final answer
    x = 891.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.