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Finding the Fourth Proportional to 871.20, 1,202.82 and 540.09

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Solution

The fourth proportional to 871.20, 1,202.82 and 540.09 is: 745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.20 : 1,202.82 = 540.09 : x
  2. Step 2: Convert to fraction form
    871.20/1,202.82 = 540.09/x
  3. Step 3: Cross multiply
    871.20x = 1,202.82 × 540.09
  4. Step 4: Simplify right side
    871.20x = 649,631.05
  5. Step 5: Solve for x
    x = 649,631.05/871.20
  6. Step 6: Final answer
    x = 745.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.