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Finding the Fourth Proportional to 732.76, 1,094.21 and 724.66

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Solution

The fourth proportional to 732.76, 1,094.21 and 724.66 is: 1,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.76 : 1,094.21 = 724.66 : x
  2. Step 2: Convert to fraction form
    732.76/1,094.21 = 724.66/x
  3. Step 3: Cross multiply
    732.76x = 1,094.21 × 724.66
  4. Step 4: Simplify right side
    732.76x = 792,930.22
  5. Step 5: Solve for x
    x = 792,930.22/732.76
  6. Step 6: Final answer
    x = 1,082.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.