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Finding the Fourth Proportional to 961.20, 1,441.08 and 413.64

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Solution

The fourth proportional to 961.20, 1,441.08 and 413.64 is: 620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.20 : 1,441.08 = 413.64 : x
  2. Step 2: Convert to fraction form
    961.20/1,441.08 = 413.64/x
  3. Step 3: Cross multiply
    961.20x = 1,441.08 × 413.64
  4. Step 4: Simplify right side
    961.20x = 596,088.33
  5. Step 5: Solve for x
    x = 596,088.33/961.20
  6. Step 6: Final answer
    x = 620.15

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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.