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Finding the Fourth Proportional to 828.56, 1,241.76 and 443.36

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Solution

The fourth proportional to 828.56, 1,241.76 and 443.36 is: 664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.56 : 1,241.76 = 443.36 : x
  2. Step 2: Convert to fraction form
    828.56/1,241.76 = 443.36/x
  3. Step 3: Cross multiply
    828.56x = 1,241.76 × 443.36
  4. Step 4: Simplify right side
    828.56x = 550,546.71
  5. Step 5: Solve for x
    x = 550,546.71/828.56
  6. Step 6: Final answer
    x = 664.46

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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.