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Finding the Fourth Proportional to 947.35, 1,422.79 and 774.38

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Solution

The fourth proportional to 947.35, 1,422.79 and 774.38 is: 1,163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.35 : 1,422.79 = 774.38 : x
  2. Step 2: Convert to fraction form
    947.35/1,422.79 = 774.38/x
  3. Step 3: Cross multiply
    947.35x = 1,422.79 × 774.38
  4. Step 4: Simplify right side
    947.35x = 1,101,786.10
  5. Step 5: Solve for x
    x = 1,101,786.10/947.35
  6. Step 6: Final answer
    x = 1,163.02

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Why These Related Problems?

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