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Finding the Fourth Proportional to 1,183.38, 1,775.07 and 413.70

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Solution

The fourth proportional to 1,183.38, 1,775.07 and 413.70 is: 620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.38 : 1,775.07 = 413.70 : x
  2. Step 2: Convert to fraction form
    1,183.38/1,775.07 = 413.70/x
  3. Step 3: Cross multiply
    1,183.38x = 1,775.07 × 413.70
  4. Step 4: Simplify right side
    1,183.38x = 734,346.46
  5. Step 5: Solve for x
    x = 734,346.46/1,183.38
  6. Step 6: Final answer
    x = 620.55

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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.