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Finding the Fourth Proportional to 681.08, 940.34 and 523.43

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Solution

The fourth proportional to 681.08, 940.34 and 523.43 is: 722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.08 : 940.34 = 523.43 : x
  2. Step 2: Convert to fraction form
    681.08/940.34 = 523.43/x
  3. Step 3: Cross multiply
    681.08x = 940.34 × 523.43
  4. Step 4: Simplify right side
    681.08x = 492,194.85
  5. Step 5: Solve for x
    x = 492,194.85/681.08
  6. Step 6: Final answer
    x = 722.67

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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.