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Finding the Fourth Proportional to 863.96, 1,294.11 and 539.55

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Solution

The fourth proportional to 863.96, 1,294.11 and 539.55 is: 808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.96 : 1,294.11 = 539.55 : x
  2. Step 2: Convert to fraction form
    863.96/1,294.11 = 539.55/x
  3. Step 3: Cross multiply
    863.96x = 1,294.11 × 539.55
  4. Step 4: Simplify right side
    863.96x = 698,237.05
  5. Step 5: Solve for x
    x = 698,237.05/863.96
  6. Step 6: Final answer
    x = 808.19

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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.