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Finding the Fourth Proportional to 892.39, 1,335.24 and 738.39

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Solution

The fourth proportional to 892.39, 1,335.24 and 738.39 is: 1,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.39 : 1,335.24 = 738.39 : x
  2. Step 2: Convert to fraction form
    892.39/1,335.24 = 738.39/x
  3. Step 3: Cross multiply
    892.39x = 1,335.24 × 738.39
  4. Step 4: Simplify right side
    892.39x = 985,927.86
  5. Step 5: Solve for x
    x = 985,927.86/892.39
  6. Step 6: Final answer
    x = 1,104.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.