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Finding the Fourth Proportional to 826.94, 1,241.10 and 514.85

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Solution

The fourth proportional to 826.94, 1,241.10 and 514.85 is: 772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.94 : 1,241.10 = 514.85 : x
  2. Step 2: Convert to fraction form
    826.94/1,241.10 = 514.85/x
  3. Step 3: Cross multiply
    826.94x = 1,241.10 × 514.85
  4. Step 4: Simplify right side
    826.94x = 638,974.13
  5. Step 5: Solve for x
    x = 638,974.13/826.94
  6. Step 6: Final answer
    x = 772.69

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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.