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Finding the Fourth Proportional to 998.73, 1,498.05 and 413.73

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Solution

The fourth proportional to 998.73, 1,498.05 and 413.73 is: 620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.73 : 1,498.05 = 413.73 : x
  2. Step 2: Convert to fraction form
    998.73/1,498.05 = 413.73/x
  3. Step 3: Cross multiply
    998.73x = 1,498.05 × 413.73
  4. Step 4: Simplify right side
    998.73x = 619,788.23
  5. Step 5: Solve for x
    x = 619,788.23/998.73
  6. Step 6: Final answer
    x = 620.58

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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.