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Finding the Fourth Proportional to 961.45, 1,325.38 and 680.81

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Solution

The fourth proportional to 961.45, 1,325.38 and 680.81 is: 938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.45 : 1,325.38 = 680.81 : x
  2. Step 2: Convert to fraction form
    961.45/1,325.38 = 680.81/x
  3. Step 3: Cross multiply
    961.45x = 1,325.38 × 680.81
  4. Step 4: Simplify right side
    961.45x = 902,331.96
  5. Step 5: Solve for x
    x = 902,331.96/961.45
  6. Step 6: Final answer
    x = 938.52

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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.