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Finding the Fourth Proportional to 892.49, 1,231.00 and 597.24

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Solution

The fourth proportional to 892.49, 1,231.00 and 597.24 is: 823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.49 : 1,231.00 = 597.24 : x
  2. Step 2: Convert to fraction form
    892.49/1,231.00 = 597.24/x
  3. Step 3: Cross multiply
    892.49x = 1,231.00 × 597.24
  4. Step 4: Simplify right side
    892.49x = 735,200.95
  5. Step 5: Solve for x
    x = 735,200.95/892.49
  6. Step 6: Final answer
    x = 823.77

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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.