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Finding the Fourth Proportional to 1,413.84, 1,950.43 and 889.50

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Solution

The fourth proportional to 1,413.84, 1,950.43 and 889.50 is: 1,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.84 : 1,950.43 = 889.50 : x
  2. Step 2: Convert to fraction form
    1,413.84/1,950.43 = 889.50/x
  3. Step 3: Cross multiply
    1,413.84x = 1,950.43 × 889.50
  4. Step 4: Simplify right side
    1,413.84x = 1,734,907.49
  5. Step 5: Solve for x
    x = 1,734,907.49/1,413.84
  6. Step 6: Final answer
    x = 1,227.09

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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.