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Finding the Fourth Proportional to 949.89, 1,424.83 and 758.73

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Solution

The fourth proportional to 949.89, 1,424.83 and 758.73 is: 1,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.89 : 1,424.83 = 758.73 : x
  2. Step 2: Convert to fraction form
    949.89/1,424.83 = 758.73/x
  3. Step 3: Cross multiply
    949.89x = 1,424.83 × 758.73
  4. Step 4: Simplify right side
    949.89x = 1,081,052.24
  5. Step 5: Solve for x
    x = 1,081,052.24/949.89
  6. Step 6: Final answer
    x = 1,138.09

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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.