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Finding the Fourth Proportional to 863.81, 1,296.52 and 453.24

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Solution

The fourth proportional to 863.81, 1,296.52 and 453.24 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.81 : 1,296.52 = 453.24 : x
  2. Step 2: Convert to fraction form
    863.81/1,296.52 = 453.24/x
  3. Step 3: Cross multiply
    863.81x = 1,296.52 × 453.24
  4. Step 4: Simplify right side
    863.81x = 587,634.72
  5. Step 5: Solve for x
    x = 587,634.72/863.81
  6. Step 6: Final answer
    x = 680.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.