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Finding the Fourth Proportional to 734.34, 1,099.86 and 408.96

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Solution

The fourth proportional to 734.34, 1,099.86 and 408.96 is: 612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.34 : 1,099.86 = 408.96 : x
  2. Step 2: Convert to fraction form
    734.34/1,099.86 = 408.96/x
  3. Step 3: Cross multiply
    734.34x = 1,099.86 × 408.96
  4. Step 4: Simplify right side
    734.34x = 449,798.75
  5. Step 5: Solve for x
    x = 449,798.75/734.34
  6. Step 6: Final answer
    x = 612.52

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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.