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Finding the Fourth Proportional to 826.14, 1,138.88 and 629.31

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Solution

The fourth proportional to 826.14, 1,138.88 and 629.31 is: 867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.14 : 1,138.88 = 629.31 : x
  2. Step 2: Convert to fraction form
    826.14/1,138.88 = 629.31/x
  3. Step 3: Cross multiply
    826.14x = 1,138.88 × 629.31
  4. Step 4: Simplify right side
    826.14x = 716,710.15
  5. Step 5: Solve for x
    x = 716,710.15/826.14
  6. Step 6: Final answer
    x = 867.54

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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.