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Finding the Fourth Proportional to 826.72, 1,240.11 and 249.59

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Solution

The fourth proportional to 826.72, 1,240.11 and 249.59 is: 374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.72 : 1,240.11 = 249.59 : x
  2. Step 2: Convert to fraction form
    826.72/1,240.11 = 249.59/x
  3. Step 3: Cross multiply
    826.72x = 1,240.11 × 249.59
  4. Step 4: Simplify right side
    826.72x = 309,522.16
  5. Step 5: Solve for x
    x = 309,522.16/826.72
  6. Step 6: Final answer
    x = 374.40

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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.