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Finding the Fourth Proportional to 940.44, 1,296.42 and 608.78

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Solution

The fourth proportional to 940.44, 1,296.42 and 608.78 is: 839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.44 : 1,296.42 = 608.78 : x
  2. Step 2: Convert to fraction form
    940.44/1,296.42 = 608.78/x
  3. Step 3: Cross multiply
    940.44x = 1,296.42 × 608.78
  4. Step 4: Simplify right side
    940.44x = 789,234.57
  5. Step 5: Solve for x
    x = 789,234.57/940.44
  6. Step 6: Final answer
    x = 839.22

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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.