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Finding the Fourth Proportional to 961.02, 1,441.27 and 413.09

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Solution

The fourth proportional to 961.02, 1,441.27 and 413.09 is: 619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.02 : 1,441.27 = 413.09 : x
  2. Step 2: Convert to fraction form
    961.02/1,441.27 = 413.09/x
  3. Step 3: Cross multiply
    961.02x = 1,441.27 × 413.09
  4. Step 4: Simplify right side
    961.02x = 595,364.95
  5. Step 5: Solve for x
    x = 595,364.95/961.02
  6. Step 6: Final answer
    x = 619.51

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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.