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Finding the Fourth Proportional to 682.52, 940.56 and 637.40

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Solution

The fourth proportional to 682.52, 940.56 and 637.40 is: 878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.52 : 940.56 = 637.40 : x
  2. Step 2: Convert to fraction form
    682.52/940.56 = 637.40/x
  3. Step 3: Cross multiply
    682.52x = 940.56 × 637.40
  4. Step 4: Simplify right side
    682.52x = 599,512.94
  5. Step 5: Solve for x
    x = 599,512.94/682.52
  6. Step 6: Final answer
    x = 878.38

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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.