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Finding the Fourth Proportional to 694.67, 1,042.06 and 207.75

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Solution

The fourth proportional to 694.67, 1,042.06 and 207.75 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.67 : 1,042.06 = 207.75 : x
  2. Step 2: Convert to fraction form
    694.67/1,042.06 = 207.75/x
  3. Step 3: Cross multiply
    694.67x = 1,042.06 × 207.75
  4. Step 4: Simplify right side
    694.67x = 216,487.97
  5. Step 5: Solve for x
    x = 216,487.97/694.67
  6. Step 6: Final answer
    x = 311.64

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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.