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Finding the Fourth Proportional to 1,694.75, 2,542.26 and 462.26

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Solution

The fourth proportional to 1,694.75, 2,542.26 and 462.26 is: 693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.75 : 2,542.26 = 462.26 : x
  2. Step 2: Convert to fraction form
    1,694.75/2,542.26 = 462.26/x
  3. Step 3: Cross multiply
    1,694.75x = 2,542.26 × 462.26
  4. Step 4: Simplify right side
    1,694.75x = 1,175,185.11
  5. Step 5: Solve for x
    x = 1,175,185.11/1,694.75
  6. Step 6: Final answer
    x = 693.43

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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.