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Finding the Fourth Proportional to 722.44, 1,082.92 and 311.64

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Solution

The fourth proportional to 722.44, 1,082.92 and 311.64 is: 467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.44 : 1,082.92 = 311.64 : x
  2. Step 2: Convert to fraction form
    722.44/1,082.92 = 311.64/x
  3. Step 3: Cross multiply
    722.44x = 1,082.92 × 311.64
  4. Step 4: Simplify right side
    722.44x = 337,481.19
  5. Step 5: Solve for x
    x = 337,481.19/722.44
  6. Step 6: Final answer
    x = 467.14

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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.