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Finding the Fourth Proportional to 863.69, 1,296.03 and 453.20

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Solution

The fourth proportional to 863.69, 1,296.03 and 453.20 is: 680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.69 : 1,296.03 = 453.20 : x
  2. Step 2: Convert to fraction form
    863.69/1,296.03 = 453.20/x
  3. Step 3: Cross multiply
    863.69x = 1,296.03 × 453.20
  4. Step 4: Simplify right side
    863.69x = 587,360.80
  5. Step 5: Solve for x
    x = 587,360.80/863.69
  6. Step 6: Final answer
    x = 680.06

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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.