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Finding the Fourth Proportional to 947.36, 1,422.24 and 803.96

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Solution

The fourth proportional to 947.36, 1,422.24 and 803.96 is: 1,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.36 : 1,422.24 = 803.96 : x
  2. Step 2: Convert to fraction form
    947.36/1,422.24 = 803.96/x
  3. Step 3: Cross multiply
    947.36x = 1,422.24 × 803.96
  4. Step 4: Simplify right side
    947.36x = 1,143,424.07
  5. Step 5: Solve for x
    x = 1,143,424.07/947.36
  6. Step 6: Final answer
    x = 1,206.96

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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.