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Finding the Fourth Proportional to 694.94, 1,042.39 and 174.95

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Solution

The fourth proportional to 694.94, 1,042.39 and 174.95 is: 262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.94 : 1,042.39 = 174.95 : x
  2. Step 2: Convert to fraction form
    694.94/1,042.39 = 174.95/x
  3. Step 3: Cross multiply
    694.94x = 1,042.39 × 174.95
  4. Step 4: Simplify right side
    694.94x = 182,366.13
  5. Step 5: Solve for x
    x = 182,366.13/694.94
  6. Step 6: Final answer
    x = 262.42

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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.