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Finding the Fourth Proportional to 888.72, 1,231.62 and 871.44

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Solution

The fourth proportional to 888.72, 1,231.62 and 871.44 is: 1,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.72 : 1,231.62 = 871.44 : x
  2. Step 2: Convert to fraction form
    888.72/1,231.62 = 871.44/x
  3. Step 3: Cross multiply
    888.72x = 1,231.62 × 871.44
  4. Step 4: Simplify right side
    888.72x = 1,073,282.93
  5. Step 5: Solve for x
    x = 1,073,282.93/888.72
  6. Step 6: Final answer
    x = 1,207.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.