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Finding the Fourth Proportional to 739.14, 1,107.93 and 276.62

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Solution

The fourth proportional to 739.14, 1,107.93 and 276.62 is: 414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.14 : 1,107.93 = 276.62 : x
  2. Step 2: Convert to fraction form
    739.14/1,107.93 = 276.62/x
  3. Step 3: Cross multiply
    739.14x = 1,107.93 × 276.62
  4. Step 4: Simplify right side
    739.14x = 306,470.06
  5. Step 5: Solve for x
    x = 306,470.06/739.14
  6. Step 6: Final answer
    x = 414.63

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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.