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Finding the Fourth Proportional to 871.59, 1,202.96 and 540.17

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Solution

The fourth proportional to 871.59, 1,202.96 and 540.17 is: 745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.59 : 1,202.96 = 540.17 : x
  2. Step 2: Convert to fraction form
    871.59/1,202.96 = 540.17/x
  3. Step 3: Cross multiply
    871.59x = 1,202.96 × 540.17
  4. Step 4: Simplify right side
    871.59x = 649,802.90
  5. Step 5: Solve for x
    x = 649,802.90/871.59
  6. Step 6: Final answer
    x = 745.54

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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.