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Finding the Fourth Proportional to 694.05, 1,042.09 and 421.29

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Solution

The fourth proportional to 694.05, 1,042.09 and 421.29 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.05 : 1,042.09 = 421.29 : x
  2. Step 2: Convert to fraction form
    694.05/1,042.09 = 421.29/x
  3. Step 3: Cross multiply
    694.05x = 1,042.09 × 421.29
  4. Step 4: Simplify right side
    694.05x = 439,016.89
  5. Step 5: Solve for x
    x = 439,016.89/694.05
  6. Step 6: Final answer
    x = 632.54

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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.