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Finding the Fourth Proportional to 961.85, 1,329.95 and 838.84

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Solution

The fourth proportional to 961.85, 1,329.95 and 838.84 is: 1,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.85 : 1,329.95 = 838.84 : x
  2. Step 2: Convert to fraction form
    961.85/1,329.95 = 838.84/x
  3. Step 3: Cross multiply
    961.85x = 1,329.95 × 838.84
  4. Step 4: Simplify right side
    961.85x = 1,115,604.41
  5. Step 5: Solve for x
    x = 1,115,604.41/961.85
  6. Step 6: Final answer
    x = 1,159.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.