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Finding the Fourth Proportional to 871.36, 1,305.90 and 748.79

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Solution

The fourth proportional to 871.36, 1,305.90 and 748.79 is: 1,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.36 : 1,305.90 = 748.79 : x
  2. Step 2: Convert to fraction form
    871.36/1,305.90 = 748.79/x
  3. Step 3: Cross multiply
    871.36x = 1,305.90 × 748.79
  4. Step 4: Simplify right side
    871.36x = 977,848.47
  5. Step 5: Solve for x
    x = 977,848.47/871.36
  6. Step 6: Final answer
    x = 1,122.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.