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Finding the Fourth Proportional to 694.31, 957.17 and 495.24

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Solution

The fourth proportional to 694.31, 957.17 and 495.24 is: 682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.31 : 957.17 = 495.24 : x
  2. Step 2: Convert to fraction form
    694.31/957.17 = 495.24/x
  3. Step 3: Cross multiply
    694.31x = 957.17 × 495.24
  4. Step 4: Simplify right side
    694.31x = 474,028.87
  5. Step 5: Solve for x
    x = 474,028.87/694.31
  6. Step 6: Final answer
    x = 682.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.