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Finding the Fourth Proportional to 961.84, 1,441.32 and 889.84

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Solution

The fourth proportional to 961.84, 1,441.32 and 889.84 is: 1,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.84 : 1,441.32 = 889.84 : x
  2. Step 2: Convert to fraction form
    961.84/1,441.32 = 889.84/x
  3. Step 3: Cross multiply
    961.84x = 1,441.32 × 889.84
  4. Step 4: Simplify right side
    961.84x = 1,282,544.19
  5. Step 5: Solve for x
    x = 1,282,544.19/961.84
  6. Step 6: Final answer
    x = 1,333.43

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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.