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Finding the Fourth Proportional to 871.78, 1,306.23 and 727.30

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Solution

The fourth proportional to 871.78, 1,306.23 and 727.30 is: 1,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.78 : 1,306.23 = 727.30 : x
  2. Step 2: Convert to fraction form
    871.78/1,306.23 = 727.30/x
  3. Step 3: Cross multiply
    871.78x = 1,306.23 × 727.30
  4. Step 4: Simplify right side
    871.78x = 950,021.08
  5. Step 5: Solve for x
    x = 950,021.08/871.78
  6. Step 6: Final answer
    x = 1,089.75

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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.