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Finding the Fourth Proportional to 1,413.54, 1,950.99 and 940.59

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Solution

The fourth proportional to 1,413.54, 1,950.99 and 940.59 is: 1,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.54 : 1,950.99 = 940.59 : x
  2. Step 2: Convert to fraction form
    1,413.54/1,950.99 = 940.59/x
  3. Step 3: Cross multiply
    1,413.54x = 1,950.99 × 940.59
  4. Step 4: Simplify right side
    1,413.54x = 1,835,081.68
  5. Step 5: Solve for x
    x = 1,835,081.68/1,413.54
  6. Step 6: Final answer
    x = 1,298.22

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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.