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Finding the Fourth Proportional to 694.38, 1,033.39 and 668.46

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Solution

The fourth proportional to 694.38, 1,033.39 and 668.46 is: 994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.38 : 1,033.39 = 668.46 : x
  2. Step 2: Convert to fraction form
    694.38/1,033.39 = 668.46/x
  3. Step 3: Cross multiply
    694.38x = 1,033.39 × 668.46
  4. Step 4: Simplify right side
    694.38x = 690,779.88
  5. Step 5: Solve for x
    x = 690,779.88/694.38
  6. Step 6: Final answer
    x = 994.82

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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.