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Finding the Fourth Proportional to 831.35, 1,245.92 and 344.14

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Solution

The fourth proportional to 831.35, 1,245.92 and 344.14 is: 515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.35 : 1,245.92 = 344.14 : x
  2. Step 2: Convert to fraction form
    831.35/1,245.92 = 344.14/x
  3. Step 3: Cross multiply
    831.35x = 1,245.92 × 344.14
  4. Step 4: Simplify right side
    831.35x = 428,766.07
  5. Step 5: Solve for x
    x = 428,766.07/831.35
  6. Step 6: Final answer
    x = 515.75

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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.