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Finding the Fourth Proportional to 753.20, 1,132.23 and 676.52

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Solution

The fourth proportional to 753.20, 1,132.23 and 676.52 is: 1,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.20 : 1,132.23 = 676.52 : x
  2. Step 2: Convert to fraction form
    753.20/1,132.23 = 676.52/x
  3. Step 3: Cross multiply
    753.20x = 1,132.23 × 676.52
  4. Step 4: Simplify right side
    753.20x = 765,976.24
  5. Step 5: Solve for x
    x = 765,976.24/753.20
  6. Step 6: Final answer
    x = 1,016.96

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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.