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Finding the Fourth Proportional to 827.27, 1,240.95 and 279.47

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Solution

The fourth proportional to 827.27, 1,240.95 and 279.47 is: 419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.27 : 1,240.95 = 279.47 : x
  2. Step 2: Convert to fraction form
    827.27/1,240.95 = 279.47/x
  3. Step 3: Cross multiply
    827.27x = 1,240.95 × 279.47
  4. Step 4: Simplify right side
    827.27x = 346,808.30
  5. Step 5: Solve for x
    x = 346,808.30/827.27
  6. Step 6: Final answer
    x = 419.22

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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.