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Finding the Fourth Proportional to 734.56, 1,102.20 and 301.72

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Solution

The fourth proportional to 734.56, 1,102.20 and 301.72 is: 452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.56 : 1,102.20 = 301.72 : x
  2. Step 2: Convert to fraction form
    734.56/1,102.20 = 301.72/x
  3. Step 3: Cross multiply
    734.56x = 1,102.20 × 301.72
  4. Step 4: Simplify right side
    734.56x = 332,555.78
  5. Step 5: Solve for x
    x = 332,555.78/734.56
  6. Step 6: Final answer
    x = 452.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.