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Finding the Fourth Proportional to 892.40, 1,231.46 and 597.62

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Solution

The fourth proportional to 892.40, 1,231.46 and 597.62 is: 824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.40 : 1,231.46 = 597.62 : x
  2. Step 2: Convert to fraction form
    892.40/1,231.46 = 597.62/x
  3. Step 3: Cross multiply
    892.40x = 1,231.46 × 597.62
  4. Step 4: Simplify right side
    892.40x = 735,945.13
  5. Step 5: Solve for x
    x = 735,945.13/892.40
  6. Step 6: Final answer
    x = 824.68

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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.