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Finding the Fourth Proportional to 943.83, 1,413.86 and 737.43

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Solution

The fourth proportional to 943.83, 1,413.86 and 737.43 is: 1,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.83 : 1,413.86 = 737.43 : x
  2. Step 2: Convert to fraction form
    943.83/1,413.86 = 737.43/x
  3. Step 3: Cross multiply
    943.83x = 1,413.86 × 737.43
  4. Step 4: Simplify right side
    943.83x = 1,042,619.09
  5. Step 5: Solve for x
    x = 1,042,619.09/943.83
  6. Step 6: Final answer
    x = 1,104.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.