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Finding the Fourth Proportional to 1,338.47, 2,006.97 and 413.78

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Solution

The fourth proportional to 1,338.47, 2,006.97 and 413.78 is: 620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.47 : 2,006.97 = 413.78 : x
  2. Step 2: Convert to fraction form
    1,338.47/2,006.97 = 413.78/x
  3. Step 3: Cross multiply
    1,338.47x = 2,006.97 × 413.78
  4. Step 4: Simplify right side
    1,338.47x = 830,434.01
  5. Step 5: Solve for x
    x = 830,434.01/1,338.47
  6. Step 6: Final answer
    x = 620.43

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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.