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Finding the Fourth Proportional to 871.44, 1,203.15 and 540.22

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Solution

The fourth proportional to 871.44, 1,203.15 and 540.22 is: 745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.44 : 1,203.15 = 540.22 : x
  2. Step 2: Convert to fraction form
    871.44/1,203.15 = 540.22/x
  3. Step 3: Cross multiply
    871.44x = 1,203.15 × 540.22
  4. Step 4: Simplify right side
    871.44x = 649,965.69
  5. Step 5: Solve for x
    x = 649,965.69/871.44
  6. Step 6: Final answer
    x = 745.85

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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.