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Finding the Fourth Proportional to 964.38, 1,446.56 and 635.92

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Solution

The fourth proportional to 964.38, 1,446.56 and 635.92 is: 953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.38 : 1,446.56 = 635.92 : x
  2. Step 2: Convert to fraction form
    964.38/1,446.56 = 635.92/x
  3. Step 3: Cross multiply
    964.38x = 1,446.56 × 635.92
  4. Step 4: Simplify right side
    964.38x = 919,896.44
  5. Step 5: Solve for x
    x = 919,896.44/964.38
  6. Step 6: Final answer
    x = 953.87

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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.