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Finding the Fourth Proportional to 998.73, 1,497.86 and 413.15

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Solution

The fourth proportional to 998.73, 1,497.86 and 413.15 is: 619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.73 : 1,497.86 = 413.15 : x
  2. Step 2: Convert to fraction form
    998.73/1,497.86 = 413.15/x
  3. Step 3: Cross multiply
    998.73x = 1,497.86 × 413.15
  4. Step 4: Simplify right side
    998.73x = 618,840.86
  5. Step 5: Solve for x
    x = 618,840.86/998.73
  6. Step 6: Final answer
    x = 619.63

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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.