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Finding the Fourth Proportional to 965.20, 1,331.97 and 523.10

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Solution

The fourth proportional to 965.20, 1,331.97 and 523.10 is: 721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.20 : 1,331.97 = 523.10 : x
  2. Step 2: Convert to fraction form
    965.20/1,331.97 = 523.10/x
  3. Step 3: Cross multiply
    965.20x = 1,331.97 × 523.10
  4. Step 4: Simplify right side
    965.20x = 696,754.07
  5. Step 5: Solve for x
    x = 696,754.07/965.20
  6. Step 6: Final answer
    x = 721.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.