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Finding the Fourth Proportional to 1,413.69, 1,950.78 and 815.97

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Solution

The fourth proportional to 1,413.69, 1,950.78 and 815.97 is: 1,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.69 : 1,950.78 = 815.97 : x
  2. Step 2: Convert to fraction form
    1,413.69/1,950.78 = 815.97/x
  3. Step 3: Cross multiply
    1,413.69x = 1,950.78 × 815.97
  4. Step 4: Simplify right side
    1,413.69x = 1,591,788.33
  5. Step 5: Solve for x
    x = 1,591,788.33/1,413.69
  6. Step 6: Final answer
    x = 1,125.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.