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Finding the Fourth Proportional to 739.62, 1,109.99 and 329.02

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Solution

The fourth proportional to 739.62, 1,109.99 and 329.02 is: 493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.62 : 1,109.99 = 329.02 : x
  2. Step 2: Convert to fraction form
    739.62/1,109.99 = 329.02/x
  3. Step 3: Cross multiply
    739.62x = 1,109.99 × 329.02
  4. Step 4: Simplify right side
    739.62x = 365,208.91
  5. Step 5: Solve for x
    x = 365,208.91/739.62
  6. Step 6: Final answer
    x = 493.78

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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.