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Finding the Fourth Proportional to 1,161.72, 1,604.61 and 867.96

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Solution

The fourth proportional to 1,161.72, 1,604.61 and 867.96 is: 1,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.72 : 1,604.61 = 867.96 : x
  2. Step 2: Convert to fraction form
    1,161.72/1,604.61 = 867.96/x
  3. Step 3: Cross multiply
    1,161.72x = 1,604.61 × 867.96
  4. Step 4: Simplify right side
    1,161.72x = 1,392,737.30
  5. Step 5: Solve for x
    x = 1,392,737.30/1,161.72
  6. Step 6: Final answer
    x = 1,198.86

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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.