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Finding the Fourth Proportional to 961.75, 1,441.63 and 414.28

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Solution

The fourth proportional to 961.75, 1,441.63 and 414.28 is: 620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.75 : 1,441.63 = 414.28 : x
  2. Step 2: Convert to fraction form
    961.75/1,441.63 = 414.28/x
  3. Step 3: Cross multiply
    961.75x = 1,441.63 × 414.28
  4. Step 4: Simplify right side
    961.75x = 597,238.48
  5. Step 5: Solve for x
    x = 597,238.48/961.75
  6. Step 6: Final answer
    x = 620.99

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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.