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Finding the Fourth Proportional to 694.16, 1,042.57 and 402.25

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Solution

The fourth proportional to 694.16, 1,042.57 and 402.25 is: 604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.16 : 1,042.57 = 402.25 : x
  2. Step 2: Convert to fraction form
    694.16/1,042.57 = 402.25/x
  3. Step 3: Cross multiply
    694.16x = 1,042.57 × 402.25
  4. Step 4: Simplify right side
    694.16x = 419,372.13
  5. Step 5: Solve for x
    x = 419,372.13/694.16
  6. Step 6: Final answer
    x = 604.14

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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.