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Finding the Fourth Proportional to 831.26, 1,244.68 and 440.46

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Solution

The fourth proportional to 831.26, 1,244.68 and 440.46 is: 659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.26 : 1,244.68 = 440.46 : x
  2. Step 2: Convert to fraction form
    831.26/1,244.68 = 440.46/x
  3. Step 3: Cross multiply
    831.26x = 1,244.68 × 440.46
  4. Step 4: Simplify right side
    831.26x = 548,230.65
  5. Step 5: Solve for x
    x = 548,230.65/831.26
  6. Step 6: Final answer
    x = 659.52

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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.