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Finding the Fourth Proportional to 939.65, 1,408.46 and 391.48

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Solution

The fourth proportional to 939.65, 1,408.46 and 391.48 is: 586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.65 : 1,408.46 = 391.48 : x
  2. Step 2: Convert to fraction form
    939.65/1,408.46 = 391.48/x
  3. Step 3: Cross multiply
    939.65x = 1,408.46 × 391.48
  4. Step 4: Simplify right side
    939.65x = 551,378.44
  5. Step 5: Solve for x
    x = 551,378.44/939.65
  6. Step 6: Final answer
    x = 586.79

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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.