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Finding the Fourth Proportional to 826.59, 1,239.59 and 241.43

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Solution

The fourth proportional to 826.59, 1,239.59 and 241.43 is: 362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.59 : 1,239.59 = 241.43 : x
  2. Step 2: Convert to fraction form
    826.59/1,239.59 = 241.43/x
  3. Step 3: Cross multiply
    826.59x = 1,239.59 × 241.43
  4. Step 4: Simplify right side
    826.59x = 299,268.02
  5. Step 5: Solve for x
    x = 299,268.02/826.59
  6. Step 6: Final answer
    x = 362.05

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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.