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Finding the Fourth Proportional to 879.72, 1,318.42 and 757.14

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Solution

The fourth proportional to 879.72, 1,318.42 and 757.14 is: 1,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.72 : 1,318.42 = 757.14 : x
  2. Step 2: Convert to fraction form
    879.72/1,318.42 = 757.14/x
  3. Step 3: Cross multiply
    879.72x = 1,318.42 × 757.14
  4. Step 4: Simplify right side
    879.72x = 998,228.52
  5. Step 5: Solve for x
    x = 998,228.52/879.72
  6. Step 6: Final answer
    x = 1,134.71

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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.