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Finding the Fourth Proportional to 739.99, 1,109.83 and 219.98

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Solution

The fourth proportional to 739.99, 1,109.83 and 219.98 is: 329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.99 : 1,109.83 = 219.98 : x
  2. Step 2: Convert to fraction form
    739.99/1,109.83 = 219.98/x
  3. Step 3: Cross multiply
    739.99x = 1,109.83 × 219.98
  4. Step 4: Simplify right side
    739.99x = 244,142.90
  5. Step 5: Solve for x
    x = 244,142.90/739.99
  6. Step 6: Final answer
    x = 329.93

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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.