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Finding the Fourth Proportional to 959.85, 1,323.72 and 697.41

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Solution

The fourth proportional to 959.85, 1,323.72 and 697.41 is: 961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.85 : 1,323.72 = 697.41 : x
  2. Step 2: Convert to fraction form
    959.85/1,323.72 = 697.41/x
  3. Step 3: Cross multiply
    959.85x = 1,323.72 × 697.41
  4. Step 4: Simplify right side
    959.85x = 923,175.57
  5. Step 5: Solve for x
    x = 923,175.57/959.85
  6. Step 6: Final answer
    x = 961.79

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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.