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Finding the Fourth Proportional to 681.70, 940.76 and 401.95

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Solution

The fourth proportional to 681.70, 940.76 and 401.95 is: 554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.70 : 940.76 = 401.95 : x
  2. Step 2: Convert to fraction form
    681.70/940.76 = 401.95/x
  3. Step 3: Cross multiply
    681.70x = 940.76 × 401.95
  4. Step 4: Simplify right side
    681.70x = 378,138.48
  5. Step 5: Solve for x
    x = 378,138.48/681.70
  6. Step 6: Final answer
    x = 554.70

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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.