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Finding the Fourth Proportional to 891.68, 1,231.52 and 596.44

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Solution

The fourth proportional to 891.68, 1,231.52 and 596.44 is: 823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.68 : 1,231.52 = 596.44 : x
  2. Step 2: Convert to fraction form
    891.68/1,231.52 = 596.44/x
  3. Step 3: Cross multiply
    891.68x = 1,231.52 × 596.44
  4. Step 4: Simplify right side
    891.68x = 734,527.79
  5. Step 5: Solve for x
    x = 734,527.79/891.68
  6. Step 6: Final answer
    x = 823.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.