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Finding the Fourth Proportional to 831.70, 1,247.46 and 318.34

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Solution

The fourth proportional to 831.70, 1,247.46 and 318.34 is: 477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.70 : 1,247.46 = 318.34 : x
  2. Step 2: Convert to fraction form
    831.70/1,247.46 = 318.34/x
  3. Step 3: Cross multiply
    831.70x = 1,247.46 × 318.34
  4. Step 4: Simplify right side
    831.70x = 397,116.42
  5. Step 5: Solve for x
    x = 397,116.42/831.70
  6. Step 6: Final answer
    x = 477.48

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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.