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Finding the Fourth Proportional to 1,338.41, 2,006.84 and 413.72

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Solution

The fourth proportional to 1,338.41, 2,006.84 and 413.72 is: 620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.41 : 2,006.84 = 413.72 : x
  2. Step 2: Convert to fraction form
    1,338.41/2,006.84 = 413.72/x
  3. Step 3: Cross multiply
    1,338.41x = 2,006.84 × 413.72
  4. Step 4: Simplify right side
    1,338.41x = 830,269.84
  5. Step 5: Solve for x
    x = 830,269.84/1,338.41
  6. Step 6: Final answer
    x = 620.34

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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.