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Finding the Fourth Proportional to 674.39, 1,010.37 and 413.80

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Solution

The fourth proportional to 674.39, 1,010.37 and 413.80 is: 619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.39 : 1,010.37 = 413.80 : x
  2. Step 2: Convert to fraction form
    674.39/1,010.37 = 413.80/x
  3. Step 3: Cross multiply
    674.39x = 1,010.37 × 413.80
  4. Step 4: Simplify right side
    674.39x = 418,091.11
  5. Step 5: Solve for x
    x = 418,091.11/674.39
  6. Step 6: Final answer
    x = 619.95

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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.