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Finding the Fourth Proportional to 674.06, 1,010.07 and 413.37

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Solution

The fourth proportional to 674.06, 1,010.07 and 413.37 is: 619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.06 : 1,010.07 = 413.37 : x
  2. Step 2: Convert to fraction form
    674.06/1,010.07 = 413.37/x
  3. Step 3: Cross multiply
    674.06x = 1,010.07 × 413.37
  4. Step 4: Simplify right side
    674.06x = 417,532.64
  5. Step 5: Solve for x
    x = 417,532.64/674.06
  6. Step 6: Final answer
    x = 619.43

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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.