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Finding the Fourth Proportional to 961.70, 1,441.79 and 884.82

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Solution

The fourth proportional to 961.70, 1,441.79 and 884.82 is: 1,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.70 : 1,441.79 = 884.82 : x
  2. Step 2: Convert to fraction form
    961.70/1,441.79 = 884.82/x
  3. Step 3: Cross multiply
    961.70x = 1,441.79 × 884.82
  4. Step 4: Simplify right side
    961.70x = 1,275,724.63
  5. Step 5: Solve for x
    x = 1,275,724.63/961.70
  6. Step 6: Final answer
    x = 1,326.53

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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.