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Finding the Fourth Proportional to 831.11, 1,244.73 and 413.88

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Solution

The fourth proportional to 831.11, 1,244.73 and 413.88 is: 619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.11 : 1,244.73 = 413.88 : x
  2. Step 2: Convert to fraction form
    831.11/1,244.73 = 413.88/x
  3. Step 3: Cross multiply
    831.11x = 1,244.73 × 413.88
  4. Step 4: Simplify right side
    831.11x = 515,165.74
  5. Step 5: Solve for x
    x = 515,165.74/831.11
  6. Step 6: Final answer
    x = 619.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.