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Finding the Fourth Proportional to 734.43, 1,102.05 and 441.21

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Solution

The fourth proportional to 734.43, 1,102.05 and 441.21 is: 662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.43 : 1,102.05 = 441.21 : x
  2. Step 2: Convert to fraction form
    734.43/1,102.05 = 441.21/x
  3. Step 3: Cross multiply
    734.43x = 1,102.05 × 441.21
  4. Step 4: Simplify right side
    734.43x = 486,235.48
  5. Step 5: Solve for x
    x = 486,235.48/734.43
  6. Step 6: Final answer
    x = 662.06

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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.