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Finding the Fourth Proportional to 827.41, 1,241.03 and 279.59

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Solution

The fourth proportional to 827.41, 1,241.03 and 279.59 is: 419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.41 : 1,241.03 = 279.59 : x
  2. Step 2: Convert to fraction form
    827.41/1,241.03 = 279.59/x
  3. Step 3: Cross multiply
    827.41x = 1,241.03 × 279.59
  4. Step 4: Simplify right side
    827.41x = 346,983.38
  5. Step 5: Solve for x
    x = 346,983.38/827.41
  6. Step 6: Final answer
    x = 419.36

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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.