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Finding the Fourth Proportional to 871.92, 1,306.44 and 842.04

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Solution

The fourth proportional to 871.92, 1,306.44 and 842.04 is: 1,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.92 : 1,306.44 = 842.04 : x
  2. Step 2: Convert to fraction form
    871.92/1,306.44 = 842.04/x
  3. Step 3: Cross multiply
    871.92x = 1,306.44 × 842.04
  4. Step 4: Simplify right side
    871.92x = 1,100,074.74
  5. Step 5: Solve for x
    x = 1,100,074.74/871.92
  6. Step 6: Final answer
    x = 1,261.67

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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.