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Finding the Fourth Proportional to 721.44, 1,082.16 and 208.56

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Solution

The fourth proportional to 721.44, 1,082.16 and 208.56 is: 312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.44 : 1,082.16 = 208.56 : x
  2. Step 2: Convert to fraction form
    721.44/1,082.16 = 208.56/x
  3. Step 3: Cross multiply
    721.44x = 1,082.16 × 208.56
  4. Step 4: Simplify right side
    721.44x = 225,695.29
  5. Step 5: Solve for x
    x = 225,695.29/721.44
  6. Step 6: Final answer
    x = 312.84

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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.