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Finding the Fourth Proportional to 892.86, 1,232.19 and 539.07

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Solution

The fourth proportional to 892.86, 1,232.19 and 539.07 is: 743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.86 : 1,232.19 = 539.07 : x
  2. Step 2: Convert to fraction form
    892.86/1,232.19 = 539.07/x
  3. Step 3: Cross multiply
    892.86x = 1,232.19 × 539.07
  4. Step 4: Simplify right side
    892.86x = 664,236.66
  5. Step 5: Solve for x
    x = 664,236.66/892.86
  6. Step 6: Final answer
    x = 743.94

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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.