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Finding the Fourth Proportional to 1,413.78, 1,951.79 and 942.31

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Solution

The fourth proportional to 1,413.78, 1,951.79 and 942.31 is: 1,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.78 : 1,951.79 = 942.31 : x
  2. Step 2: Convert to fraction form
    1,413.78/1,951.79 = 942.31/x
  3. Step 3: Cross multiply
    1,413.78x = 1,951.79 × 942.31
  4. Step 4: Simplify right side
    1,413.78x = 1,839,191.23
  5. Step 5: Solve for x
    x = 1,839,191.23/1,413.78
  6. Step 6: Final answer
    x = 1,300.90

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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.