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Finding the Fourth Proportional to 947.26, 1,422.22 and 485.37

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Solution

The fourth proportional to 947.26, 1,422.22 and 485.37 is: 728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.26 : 1,422.22 = 485.37 : x
  2. Step 2: Convert to fraction form
    947.26/1,422.22 = 485.37/x
  3. Step 3: Cross multiply
    947.26x = 1,422.22 × 485.37
  4. Step 4: Simplify right side
    947.26x = 690,305.30
  5. Step 5: Solve for x
    x = 690,305.30/947.26
  6. Step 6: Final answer
    x = 728.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.