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Finding the Fourth Proportional to 1,019.33, 1,413.89 and 984.36

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Solution

The fourth proportional to 1,019.33, 1,413.89 and 984.36 is: 1,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.33 : 1,413.89 = 984.36 : x
  2. Step 2: Convert to fraction form
    1,019.33/1,413.89 = 984.36/x
  3. Step 3: Cross multiply
    1,019.33x = 1,413.89 × 984.36
  4. Step 4: Simplify right side
    1,019.33x = 1,391,771.84
  5. Step 5: Solve for x
    x = 1,391,771.84/1,019.33
  6. Step 6: Final answer
    x = 1,365.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.