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Finding the Fourth Proportional to 805.14, 1,206.09 and 439.83

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Solution

The fourth proportional to 805.14, 1,206.09 and 439.83 is: 658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.14 : 1,206.09 = 439.83 : x
  2. Step 2: Convert to fraction form
    805.14/1,206.09 = 439.83/x
  3. Step 3: Cross multiply
    805.14x = 1,206.09 × 439.83
  4. Step 4: Simplify right side
    805.14x = 530,474.56
  5. Step 5: Solve for x
    x = 530,474.56/805.14
  6. Step 6: Final answer
    x = 658.86

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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.