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Finding the Fourth Proportional to 739.48, 1,107.87 and 556.96

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Solution

The fourth proportional to 739.48, 1,107.87 and 556.96 is: 834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.48 : 1,107.87 = 556.96 : x
  2. Step 2: Convert to fraction form
    739.48/1,107.87 = 556.96/x
  3. Step 3: Cross multiply
    739.48x = 1,107.87 × 556.96
  4. Step 4: Simplify right side
    739.48x = 617,039.28
  5. Step 5: Solve for x
    x = 617,039.28/739.48
  6. Step 6: Final answer
    x = 834.42

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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.