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Finding the Fourth Proportional to 754.96, 1,132.11 and 446.90

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Solution

The fourth proportional to 754.96, 1,132.11 and 446.90 is: 670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.96 : 1,132.11 = 446.90 : x
  2. Step 2: Convert to fraction form
    754.96/1,132.11 = 446.90/x
  3. Step 3: Cross multiply
    754.96x = 1,132.11 × 446.90
  4. Step 4: Simplify right side
    754.96x = 505,939.96
  5. Step 5: Solve for x
    x = 505,939.96/754.96
  6. Step 6: Final answer
    x = 670.15

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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.