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Finding the Fourth Proportional to 694.53, 1,042.02 and 402.38

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Solution

The fourth proportional to 694.53, 1,042.02 and 402.38 is: 603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.53 : 1,042.02 = 402.38 : x
  2. Step 2: Convert to fraction form
    694.53/1,042.02 = 402.38/x
  3. Step 3: Cross multiply
    694.53x = 1,042.02 × 402.38
  4. Step 4: Simplify right side
    694.53x = 419,282.80
  5. Step 5: Solve for x
    x = 419,282.80/694.53
  6. Step 6: Final answer
    x = 603.69

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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.