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Finding the Fourth Proportional to 961.26, 1,441.62 and 413.16

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Solution

The fourth proportional to 961.26, 1,441.62 and 413.16 is: 619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.26 : 1,441.62 = 413.16 : x
  2. Step 2: Convert to fraction form
    961.26/1,441.62 = 413.16/x
  3. Step 3: Cross multiply
    961.26x = 1,441.62 × 413.16
  4. Step 4: Simplify right side
    961.26x = 595,619.72
  5. Step 5: Solve for x
    x = 595,619.72/961.26
  6. Step 6: Final answer
    x = 619.62

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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.