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Finding the Fourth Proportional to 1,338.21, 2,006.57 and 413.51

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Solution

The fourth proportional to 1,338.21, 2,006.57 and 413.51 is: 620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.21 : 2,006.57 = 413.51 : x
  2. Step 2: Convert to fraction form
    1,338.21/2,006.57 = 413.51/x
  3. Step 3: Cross multiply
    1,338.21x = 2,006.57 × 413.51
  4. Step 4: Simplify right side
    1,338.21x = 829,726.73
  5. Step 5: Solve for x
    x = 829,726.73/1,338.21
  6. Step 6: Final answer
    x = 620.03

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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.