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Finding the Fourth Proportional to 1,183.54, 1,775.31 and 413.86

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Solution

The fourth proportional to 1,183.54, 1,775.31 and 413.86 is: 620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.54 : 1,775.31 = 413.86 : x
  2. Step 2: Convert to fraction form
    1,183.54/1,775.31 = 413.86/x
  3. Step 3: Cross multiply
    1,183.54x = 1,775.31 × 413.86
  4. Step 4: Simplify right side
    1,183.54x = 734,729.80
  5. Step 5: Solve for x
    x = 734,729.80/1,183.54
  6. Step 6: Final answer
    x = 620.79

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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.