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Finding the Fourth Proportional to 827.24, 1,138.20 and 629.60

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Solution

The fourth proportional to 827.24, 1,138.20 and 629.60 is: 866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.24 : 1,138.20 = 629.60 : x
  2. Step 2: Convert to fraction form
    827.24/1,138.20 = 629.60/x
  3. Step 3: Cross multiply
    827.24x = 1,138.20 × 629.60
  4. Step 4: Simplify right side
    827.24x = 716,610.72
  5. Step 5: Solve for x
    x = 716,610.72/827.24
  6. Step 6: Final answer
    x = 866.27

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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.