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Finding the Fourth Proportional to 961.92, 1,441.84 and 376.84

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Solution

The fourth proportional to 961.92, 1,441.84 and 376.84 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.92 : 1,441.84 = 376.84 : x
  2. Step 2: Convert to fraction form
    961.92/1,441.84 = 376.84/x
  3. Step 3: Cross multiply
    961.92x = 1,441.84 × 376.84
  4. Step 4: Simplify right side
    961.92x = 543,342.99
  5. Step 5: Solve for x
    x = 543,342.99/961.92
  6. Step 6: Final answer
    x = 564.85

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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.