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Finding the Fourth Proportional to 1,739.25, 2,608.67 and 440.73

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Solution

The fourth proportional to 1,739.25, 2,608.67 and 440.73 is: 661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.25 : 2,608.67 = 440.73 : x
  2. Step 2: Convert to fraction form
    1,739.25/2,608.67 = 440.73/x
  3. Step 3: Cross multiply
    1,739.25x = 2,608.67 × 440.73
  4. Step 4: Simplify right side
    1,739.25x = 1,149,720.23
  5. Step 5: Solve for x
    x = 1,149,720.23/1,739.25
  6. Step 6: Final answer
    x = 661.04

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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.