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Finding the Fourth Proportional to 831.72, 1,247.78 and 311.75

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Solution

The fourth proportional to 831.72, 1,247.78 and 311.75 is: 467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.72 : 1,247.78 = 311.75 : x
  2. Step 2: Convert to fraction form
    831.72/1,247.78 = 311.75/x
  3. Step 3: Cross multiply
    831.72x = 1,247.78 × 311.75
  4. Step 4: Simplify right side
    831.72x = 388,989.96
  5. Step 5: Solve for x
    x = 388,989.96/831.72
  6. Step 6: Final answer
    x = 467.69

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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.