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Finding the Fourth Proportional to 682.11, 940.91 and 495.38

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Solution

The fourth proportional to 682.11, 940.91 and 495.38 is: 683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.11 : 940.91 = 495.38 : x
  2. Step 2: Convert to fraction form
    682.11/940.91 = 495.38/x
  3. Step 3: Cross multiply
    682.11x = 940.91 × 495.38
  4. Step 4: Simplify right side
    682.11x = 466,100.81
  5. Step 5: Solve for x
    x = 466,100.81/682.11
  6. Step 6: Final answer
    x = 683.32

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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.