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Finding the Fourth Proportional to 826.36, 1,236.42 and 461.44

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Solution

The fourth proportional to 826.36, 1,236.42 and 461.44 is: 690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.36 : 1,236.42 = 461.44 : x
  2. Step 2: Convert to fraction form
    826.36/1,236.42 = 461.44/x
  3. Step 3: Cross multiply
    826.36x = 1,236.42 × 461.44
  4. Step 4: Simplify right side
    826.36x = 570,533.64
  5. Step 5: Solve for x
    x = 570,533.64/826.36
  6. Step 6: Final answer
    x = 690.42

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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.