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Finding the Fourth Proportional to 694.67, 1,042.34 and 284.09

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Solution

The fourth proportional to 694.67, 1,042.34 and 284.09 is: 426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.67 : 1,042.34 = 284.09 : x
  2. Step 2: Convert to fraction form
    694.67/1,042.34 = 284.09/x
  3. Step 3: Cross multiply
    694.67x = 1,042.34 × 284.09
  4. Step 4: Simplify right side
    694.67x = 296,111.74
  5. Step 5: Solve for x
    x = 296,111.74/694.67
  6. Step 6: Final answer
    x = 426.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.