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Finding the Fourth Proportional to 863.23, 1,299.55 and 591.04

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Solution

The fourth proportional to 863.23, 1,299.55 and 591.04 is: 889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.23 : 1,299.55 = 591.04 : x
  2. Step 2: Convert to fraction form
    863.23/1,299.55 = 591.04/x
  3. Step 3: Cross multiply
    863.23x = 1,299.55 × 591.04
  4. Step 4: Simplify right side
    863.23x = 768,086.03
  5. Step 5: Solve for x
    x = 768,086.03/863.23
  6. Step 6: Final answer
    x = 889.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.