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Finding the Fourth Proportional to 892.29, 1,228.83 and 873.21

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Solution

The fourth proportional to 892.29, 1,228.83 and 873.21 is: 1,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.29 : 1,228.83 = 873.21 : x
  2. Step 2: Convert to fraction form
    892.29/1,228.83 = 873.21/x
  3. Step 3: Cross multiply
    892.29x = 1,228.83 × 873.21
  4. Step 4: Simplify right side
    892.29x = 1,073,032.89
  5. Step 5: Solve for x
    x = 1,073,032.89/892.29
  6. Step 6: Final answer
    x = 1,202.56

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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.