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Finding the Fourth Proportional to 863.85, 1,296.33 and 453.29

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Solution

The fourth proportional to 863.85, 1,296.33 and 453.29 is: 680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.85 : 1,296.33 = 453.29 : x
  2. Step 2: Convert to fraction form
    863.85/1,296.33 = 453.29/x
  3. Step 3: Cross multiply
    863.85x = 1,296.33 × 453.29
  4. Step 4: Simplify right side
    863.85x = 587,605.24
  5. Step 5: Solve for x
    x = 587,605.24/863.85
  6. Step 6: Final answer
    x = 680.21

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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.