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Finding the Fourth Proportional to 725.56, 1,082.22 and 608.64

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Solution

The fourth proportional to 725.56, 1,082.22 and 608.64 is: 907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.56 : 1,082.22 = 608.64 : x
  2. Step 2: Convert to fraction form
    725.56/1,082.22 = 608.64/x
  3. Step 3: Cross multiply
    725.56x = 1,082.22 × 608.64
  4. Step 4: Simplify right side
    725.56x = 658,682.38
  5. Step 5: Solve for x
    x = 658,682.38/725.56
  6. Step 6: Final answer
    x = 907.83

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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.