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Finding the Fourth Proportional to 961.17, 1,441.53 and 413.61

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Solution

The fourth proportional to 961.17, 1,441.53 and 413.61 is: 620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.17 : 1,441.53 = 413.61 : x
  2. Step 2: Convert to fraction form
    961.17/1,441.53 = 413.61/x
  3. Step 3: Cross multiply
    961.17x = 1,441.53 × 413.61
  4. Step 4: Simplify right side
    961.17x = 596,231.22
  5. Step 5: Solve for x
    x = 596,231.22/961.17
  6. Step 6: Final answer
    x = 620.32

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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.