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Finding the Fourth Proportional to 694.33, 1,042.01 and 329.12

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Solution

The fourth proportional to 694.33, 1,042.01 and 329.12 is: 493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.33 : 1,042.01 = 329.12 : x
  2. Step 2: Convert to fraction form
    694.33/1,042.01 = 329.12/x
  3. Step 3: Cross multiply
    694.33x = 1,042.01 × 329.12
  4. Step 4: Simplify right side
    694.33x = 342,946.33
  5. Step 5: Solve for x
    x = 342,946.33/694.33
  6. Step 6: Final answer
    x = 493.92

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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.