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Finding the Fourth Proportional to 951.21, 1,422.63 and 827.69

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Solution

The fourth proportional to 951.21, 1,422.63 and 827.69 is: 1,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.21 : 1,422.63 = 827.69 : x
  2. Step 2: Convert to fraction form
    951.21/1,422.63 = 827.69/x
  3. Step 3: Cross multiply
    951.21x = 1,422.63 × 827.69
  4. Step 4: Simplify right side
    951.21x = 1,177,489.51
  5. Step 5: Solve for x
    x = 1,177,489.51/951.21
  6. Step 6: Final answer
    x = 1,237.89

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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.