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Finding the Fourth Proportional to 968.97, 1,452.45 and 506.52

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Solution

The fourth proportional to 968.97, 1,452.45 and 506.52 is: 759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.97 : 1,452.45 = 506.52 : x
  2. Step 2: Convert to fraction form
    968.97/1,452.45 = 506.52/x
  3. Step 3: Cross multiply
    968.97x = 1,452.45 × 506.52
  4. Step 4: Simplify right side
    968.97x = 735,694.97
  5. Step 5: Solve for x
    x = 735,694.97/968.97
  6. Step 6: Final answer
    x = 759.25

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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.