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Finding the Fourth Proportional to 892.67, 1,232.37 and 599.49

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Solution

The fourth proportional to 892.67, 1,232.37 and 599.49 is: 827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.67 : 1,232.37 = 599.49 : x
  2. Step 2: Convert to fraction form
    892.67/1,232.37 = 599.49/x
  3. Step 3: Cross multiply
    892.67x = 1,232.37 × 599.49
  4. Step 4: Simplify right side
    892.67x = 738,793.49
  5. Step 5: Solve for x
    x = 738,793.49/892.67
  6. Step 6: Final answer
    x = 827.63

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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.