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Finding the Fourth Proportional to 928.24, 1,279.92 and 694.96

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Solution

The fourth proportional to 928.24, 1,279.92 and 694.96 is: 958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.24 : 1,279.92 = 694.96 : x
  2. Step 2: Convert to fraction form
    928.24/1,279.92 = 694.96/x
  3. Step 3: Cross multiply
    928.24x = 1,279.92 × 694.96
  4. Step 4: Simplify right side
    928.24x = 889,493.20
  5. Step 5: Solve for x
    x = 889,493.20/928.24
  6. Step 6: Final answer
    x = 958.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.