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Finding the Fourth Proportional to 961.64, 1,325.84 and 629.54

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Solution

The fourth proportional to 961.64, 1,325.84 and 629.54 is: 867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.64 : 1,325.84 = 629.54 : x
  2. Step 2: Convert to fraction form
    961.64/1,325.84 = 629.54/x
  3. Step 3: Cross multiply
    961.64x = 1,325.84 × 629.54
  4. Step 4: Simplify right side
    961.64x = 834,659.54
  5. Step 5: Solve for x
    x = 834,659.54/961.64
  6. Step 6: Final answer
    x = 867.96

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Why These Related Problems?

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