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Finding the Fourth Proportional to 958.28, 1,319.80 and 827.24

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Solution

The fourth proportional to 958.28, 1,319.80 and 827.24 is: 1,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.28 : 1,319.80 = 827.24 : x
  2. Step 2: Convert to fraction form
    958.28/1,319.80 = 827.24/x
  3. Step 3: Cross multiply
    958.28x = 1,319.80 × 827.24
  4. Step 4: Simplify right side
    958.28x = 1,091,791.35
  5. Step 5: Solve for x
    x = 1,091,791.35/958.28
  6. Step 6: Final answer
    x = 1,139.32

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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.