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Finding the Fourth Proportional to 863.72, 1,296.32 and 453.14

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Solution

The fourth proportional to 863.72, 1,296.32 and 453.14 is: 680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.72 : 1,296.32 = 453.14 : x
  2. Step 2: Convert to fraction form
    863.72/1,296.32 = 453.14/x
  3. Step 3: Cross multiply
    863.72x = 1,296.32 × 453.14
  4. Step 4: Simplify right side
    863.72x = 587,418.82
  5. Step 5: Solve for x
    x = 587,418.82/863.72
  6. Step 6: Final answer
    x = 680.11

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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.