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Finding the Fourth Proportional to 734.44, 1,101.18 and 409.96

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Solution

The fourth proportional to 734.44, 1,101.18 and 409.96 is: 614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.44 : 1,101.18 = 409.96 : x
  2. Step 2: Convert to fraction form
    734.44/1,101.18 = 409.96/x
  3. Step 3: Cross multiply
    734.44x = 1,101.18 × 409.96
  4. Step 4: Simplify right side
    734.44x = 451,439.75
  5. Step 5: Solve for x
    x = 451,439.75/734.44
  6. Step 6: Final answer
    x = 614.67

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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.