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Finding the Fourth Proportional to 952.01, 1,313.12 and 827.45

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Solution

The fourth proportional to 952.01, 1,313.12 and 827.45 is: 1,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.01 : 1,313.12 = 827.45 : x
  2. Step 2: Convert to fraction form
    952.01/1,313.12 = 827.45/x
  3. Step 3: Cross multiply
    952.01x = 1,313.12 × 827.45
  4. Step 4: Simplify right side
    952.01x = 1,086,540.29
  5. Step 5: Solve for x
    x = 1,086,540.29/952.01
  6. Step 6: Final answer
    x = 1,141.32

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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.