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Finding the Fourth Proportional to 694.20, 1,033.17 and 661.80

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Solution

The fourth proportional to 694.20, 1,033.17 and 661.80 is: 984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.20 : 1,033.17 = 661.80 : x
  2. Step 2: Convert to fraction form
    694.20/1,033.17 = 661.80/x
  3. Step 3: Cross multiply
    694.20x = 1,033.17 × 661.80
  4. Step 4: Simplify right side
    694.20x = 683,751.91
  5. Step 5: Solve for x
    x = 683,751.91/694.20
  6. Step 6: Final answer
    x = 984.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.