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Finding the Fourth Proportional to 826.01, 1,238.83 and 241.01

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Solution

The fourth proportional to 826.01, 1,238.83 and 241.01 is: 361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.01 : 1,238.83 = 241.01 : x
  2. Step 2: Convert to fraction form
    826.01/1,238.83 = 241.01/x
  3. Step 3: Cross multiply
    826.01x = 1,238.83 × 241.01
  4. Step 4: Simplify right side
    826.01x = 298,570.42
  5. Step 5: Solve for x
    x = 298,570.42/826.01
  6. Step 6: Final answer
    x = 361.46

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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.