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Finding the Fourth Proportional to 976.22, 1,340.01 and 863.22

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Solution

The fourth proportional to 976.22, 1,340.01 and 863.22 is: 1,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.22 : 1,340.01 = 863.22 : x
  2. Step 2: Convert to fraction form
    976.22/1,340.01 = 863.22/x
  3. Step 3: Cross multiply
    976.22x = 1,340.01 × 863.22
  4. Step 4: Simplify right side
    976.22x = 1,156,723.43
  5. Step 5: Solve for x
    x = 1,156,723.43/976.22
  6. Step 6: Final answer
    x = 1,184.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.