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Finding the Fourth Proportional to 892.65, 1,232.87 and 727.71

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Solution

The fourth proportional to 892.65, 1,232.87 and 727.71 is: 1,005.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.65 : 1,232.87 = 727.71 : x
  2. Step 2: Convert to fraction form
    892.65/1,232.87 = 727.71/x
  3. Step 3: Cross multiply
    892.65x = 1,232.87 × 727.71
  4. Step 4: Simplify right side
    892.65x = 897,171.83
  5. Step 5: Solve for x
    x = 897,171.83/892.65
  6. Step 6: Final answer
    x = 1,005.07

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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.