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Finding the Fourth Proportional to 968.20, 1,452.30 and 822.40

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Solution

The fourth proportional to 968.20, 1,452.30 and 822.40 is: 1,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.20 : 1,452.30 = 822.40 : x
  2. Step 2: Convert to fraction form
    968.20/1,452.30 = 822.40/x
  3. Step 3: Cross multiply
    968.20x = 1,452.30 × 822.40
  4. Step 4: Simplify right side
    968.20x = 1,194,371.52
  5. Step 5: Solve for x
    x = 1,194,371.52/968.20
  6. Step 6: Final answer
    x = 1,233.60

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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.