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Finding the Fourth Proportional to 863.87, 1,296 and 452.79

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Solution

The fourth proportional to 863.87, 1,296 and 452.79 is: 679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.87 : 1,296 = 452.79 : x
  2. Step 2: Convert to fraction form
    863.87/1,296 = 452.79/x
  3. Step 3: Cross multiply
    863.87x = 1,296 × 452.79
  4. Step 4: Simplify right side
    863.87x = 586,815.84
  5. Step 5: Solve for x
    x = 586,815.84/863.87
  6. Step 6: Final answer
    x = 679.29

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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.