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Finding the Fourth Proportional to 968.22, 1,452.50 and 813.82

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Solution

The fourth proportional to 968.22, 1,452.50 and 813.82 is: 1,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.22 : 1,452.50 = 813.82 : x
  2. Step 2: Convert to fraction form
    968.22/1,452.50 = 813.82/x
  3. Step 3: Cross multiply
    968.22x = 1,452.50 × 813.82
  4. Step 4: Simplify right side
    968.22x = 1,182,073.55
  5. Step 5: Solve for x
    x = 1,182,073.55/968.22
  6. Step 6: Final answer
    x = 1,220.87

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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.