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Finding the Fourth Proportional to 853.14, 1,278.21 and 413.79

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Solution

The fourth proportional to 853.14, 1,278.21 and 413.79 is: 619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.14 : 1,278.21 = 413.79 : x
  2. Step 2: Convert to fraction form
    853.14/1,278.21 = 413.79/x
  3. Step 3: Cross multiply
    853.14x = 1,278.21 × 413.79
  4. Step 4: Simplify right side
    853.14x = 528,910.52
  5. Step 5: Solve for x
    x = 528,910.52/853.14
  6. Step 6: Final answer
    x = 619.96

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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.