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Finding the Fourth Proportional to 967.26, 1,452.51 and 863.31

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Solution

The fourth proportional to 967.26, 1,452.51 and 863.31 is: 1,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.26 : 1,452.51 = 863.31 : x
  2. Step 2: Convert to fraction form
    967.26/1,452.51 = 863.31/x
  3. Step 3: Cross multiply
    967.26x = 1,452.51 × 863.31
  4. Step 4: Simplify right side
    967.26x = 1,253,966.41
  5. Step 5: Solve for x
    x = 1,253,966.41/967.26
  6. Step 6: Final answer
    x = 1,296.41

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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.