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Finding the Fourth Proportional to 1,413.90, 1,950.87 and 889.74

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Solution

The fourth proportional to 1,413.90, 1,950.87 and 889.74 is: 1,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.90 : 1,950.87 = 889.74 : x
  2. Step 2: Convert to fraction form
    1,413.90/1,950.87 = 889.74/x
  3. Step 3: Cross multiply
    1,413.90x = 1,950.87 × 889.74
  4. Step 4: Simplify right side
    1,413.90x = 1,735,767.07
  5. Step 5: Solve for x
    x = 1,735,767.07/1,413.90
  6. Step 6: Final answer
    x = 1,227.64

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Why These Related Problems?

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