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Finding the Fourth Proportional to 831.75, 1,247.61 and 215.43

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Solution

The fourth proportional to 831.75, 1,247.61 and 215.43 is: 323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.75 : 1,247.61 = 215.43 : x
  2. Step 2: Convert to fraction form
    831.75/1,247.61 = 215.43/x
  3. Step 3: Cross multiply
    831.75x = 1,247.61 × 215.43
  4. Step 4: Simplify right side
    831.75x = 268,772.62
  5. Step 5: Solve for x
    x = 268,772.62/831.75
  6. Step 6: Final answer
    x = 323.14

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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.