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Finding the Fourth Proportional to 734.05, 1,100.87 and 271.79

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Solution

The fourth proportional to 734.05, 1,100.87 and 271.79 is: 407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.05 : 1,100.87 = 271.79 : x
  2. Step 2: Convert to fraction form
    734.05/1,100.87 = 271.79/x
  3. Step 3: Cross multiply
    734.05x = 1,100.87 × 271.79
  4. Step 4: Simplify right side
    734.05x = 299,205.46
  5. Step 5: Solve for x
    x = 299,205.46/734.05
  6. Step 6: Final answer
    x = 407.61

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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.