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Finding the Fourth Proportional to 827.66, 1,241.64 and 279.80

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Solution

The fourth proportional to 827.66, 1,241.64 and 279.80 is: 419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.66 : 1,241.64 = 279.80 : x
  2. Step 2: Convert to fraction form
    827.66/1,241.64 = 279.80/x
  3. Step 3: Cross multiply
    827.66x = 1,241.64 × 279.80
  4. Step 4: Simplify right side
    827.66x = 347,410.87
  5. Step 5: Solve for x
    x = 347,410.87/827.66
  6. Step 6: Final answer
    x = 419.75

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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.