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Finding the Fourth Proportional to 968.26, 1,452.17 and 474.47

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Solution

The fourth proportional to 968.26, 1,452.17 and 474.47 is: 711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.26 : 1,452.17 = 474.47 : x
  2. Step 2: Convert to fraction form
    968.26/1,452.17 = 474.47/x
  3. Step 3: Cross multiply
    968.26x = 1,452.17 × 474.47
  4. Step 4: Simplify right side
    968.26x = 689,001.47
  5. Step 5: Solve for x
    x = 689,001.47/968.26
  6. Step 6: Final answer
    x = 711.59

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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.