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Finding the Fourth Proportional to 976.02, 1,353.81 and 941

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Solution

The fourth proportional to 976.02, 1,353.81 and 941 is: 1,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.02 : 1,353.81 = 941 : x
  2. Step 2: Convert to fraction form
    976.02/1,353.81 = 941/x
  3. Step 3: Cross multiply
    976.02x = 1,353.81 × 941
  4. Step 4: Simplify right side
    976.02x = 1,273,935.21
  5. Step 5: Solve for x
    x = 1,273,935.21/976.02
  6. Step 6: Final answer
    x = 1,305.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.