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Finding the Fourth Proportional to 961.44, 1,441.49 and 413.34

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Solution

The fourth proportional to 961.44, 1,441.49 and 413.34 is: 619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.44 : 1,441.49 = 413.34 : x
  2. Step 2: Convert to fraction form
    961.44/1,441.49 = 413.34/x
  3. Step 3: Cross multiply
    961.44x = 1,441.49 × 413.34
  4. Step 4: Simplify right side
    961.44x = 595,823.41
  5. Step 5: Solve for x
    x = 595,823.41/961.44
  6. Step 6: Final answer
    x = 619.72

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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.