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Finding the Fourth Proportional to 826.26, 1,241.01 and 729.06

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Solution

The fourth proportional to 826.26, 1,241.01 and 729.06 is: 1,095.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.26 : 1,241.01 = 729.06 : x
  2. Step 2: Convert to fraction form
    826.26/1,241.01 = 729.06/x
  3. Step 3: Cross multiply
    826.26x = 1,241.01 × 729.06
  4. Step 4: Simplify right side
    826.26x = 904,770.75
  5. Step 5: Solve for x
    x = 904,770.75/826.26
  6. Step 6: Final answer
    x = 1,095.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.