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Finding the Fourth Proportional to 892.40, 1,231.92 and 597.87

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Solution

The fourth proportional to 892.40, 1,231.92 and 597.87 is: 825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.40 : 1,231.92 = 597.87 : x
  2. Step 2: Convert to fraction form
    892.40/1,231.92 = 597.87/x
  3. Step 3: Cross multiply
    892.40x = 1,231.92 × 597.87
  4. Step 4: Simplify right side
    892.40x = 736,528.01
  5. Step 5: Solve for x
    x = 736,528.01/892.40
  6. Step 6: Final answer
    x = 825.34

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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.