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Finding the Fourth Proportional to 739.76, 1,109.03 and 374.36

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Solution

The fourth proportional to 739.76, 1,109.03 and 374.36 is: 561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.76 : 1,109.03 = 374.36 : x
  2. Step 2: Convert to fraction form
    739.76/1,109.03 = 374.36/x
  3. Step 3: Cross multiply
    739.76x = 1,109.03 × 374.36
  4. Step 4: Simplify right side
    739.76x = 415,169.05
  5. Step 5: Solve for x
    x = 415,169.05/739.76
  6. Step 6: Final answer
    x = 561.23

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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.