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Finding the Fourth Proportional to 754.12, 1,131.90 and 466.12

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Solution

The fourth proportional to 754.12, 1,131.90 and 466.12 is: 699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.12 : 1,131.90 = 466.12 : x
  2. Step 2: Convert to fraction form
    754.12/1,131.90 = 466.12/x
  3. Step 3: Cross multiply
    754.12x = 1,131.90 × 466.12
  4. Step 4: Simplify right side
    754.12x = 527,601.23
  5. Step 5: Solve for x
    x = 527,601.23/754.12
  6. Step 6: Final answer
    x = 699.63

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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.