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Finding the Fourth Proportional to 804.74, 1,206.68 and 439.42

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Solution

The fourth proportional to 804.74, 1,206.68 and 439.42 is: 658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.74 : 1,206.68 = 439.42 : x
  2. Step 2: Convert to fraction form
    804.74/1,206.68 = 439.42/x
  3. Step 3: Cross multiply
    804.74x = 1,206.68 × 439.42
  4. Step 4: Simplify right side
    804.74x = 530,239.33
  5. Step 5: Solve for x
    x = 530,239.33/804.74
  6. Step 6: Final answer
    x = 658.90

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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.