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Finding the Fourth Proportional to 960.92, 1,441.39 and 413.10

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Solution

The fourth proportional to 960.92, 1,441.39 and 413.10 is: 619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.92 : 1,441.39 = 413.10 : x
  2. Step 2: Convert to fraction form
    960.92/1,441.39 = 413.10/x
  3. Step 3: Cross multiply
    960.92x = 1,441.39 × 413.10
  4. Step 4: Simplify right side
    960.92x = 595,438.21
  5. Step 5: Solve for x
    x = 595,438.21/960.92
  6. Step 6: Final answer
    x = 619.65

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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.