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Finding the Fourth Proportional to 1,288.39, 1,932.21 and 629.86

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Solution

The fourth proportional to 1,288.39, 1,932.21 and 629.86 is: 944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.39 : 1,932.21 = 629.86 : x
  2. Step 2: Convert to fraction form
    1,288.39/1,932.21 = 629.86/x
  3. Step 3: Cross multiply
    1,288.39x = 1,932.21 × 629.86
  4. Step 4: Simplify right side
    1,288.39x = 1,217,021.79
  5. Step 5: Solve for x
    x = 1,217,021.79/1,288.39
  6. Step 6: Final answer
    x = 944.61

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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.