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Finding the Fourth Proportional to 694.60, 1,042.68 and 406.24

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Solution

The fourth proportional to 694.60, 1,042.68 and 406.24 is: 609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.60 : 1,042.68 = 406.24 : x
  2. Step 2: Convert to fraction form
    694.60/1,042.68 = 406.24/x
  3. Step 3: Cross multiply
    694.60x = 1,042.68 × 406.24
  4. Step 4: Simplify right side
    694.60x = 423,578.32
  5. Step 5: Solve for x
    x = 423,578.32/694.60
  6. Step 6: Final answer
    x = 609.82

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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.