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Finding the Fourth Proportional to 961.71, 1,441.48 and 447.63

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Solution

The fourth proportional to 961.71, 1,441.48 and 447.63 is: 670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.71 : 1,441.48 = 447.63 : x
  2. Step 2: Convert to fraction form
    961.71/1,441.48 = 447.63/x
  3. Step 3: Cross multiply
    961.71x = 1,441.48 × 447.63
  4. Step 4: Simplify right side
    961.71x = 645,249.69
  5. Step 5: Solve for x
    x = 645,249.69/961.71
  6. Step 6: Final answer
    x = 670.94

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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.