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Finding the Fourth Proportional to 734.42, 1,099.29 and 408.80

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Solution

The fourth proportional to 734.42, 1,099.29 and 408.80 is: 611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.42 : 1,099.29 = 408.80 : x
  2. Step 2: Convert to fraction form
    734.42/1,099.29 = 408.80/x
  3. Step 3: Cross multiply
    734.42x = 1,099.29 × 408.80
  4. Step 4: Simplify right side
    734.42x = 449,389.75
  5. Step 5: Solve for x
    x = 449,389.75/734.42
  6. Step 6: Final answer
    x = 611.90

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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.