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Finding the Fourth Proportional to 827.16, 1,240.71 and 333.78

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Solution

The fourth proportional to 827.16, 1,240.71 and 333.78 is: 500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.16 : 1,240.71 = 333.78 : x
  2. Step 2: Convert to fraction form
    827.16/1,240.71 = 333.78/x
  3. Step 3: Cross multiply
    827.16x = 1,240.71 × 333.78
  4. Step 4: Simplify right side
    827.16x = 414,124.18
  5. Step 5: Solve for x
    x = 414,124.18/827.16
  6. Step 6: Final answer
    x = 500.66

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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.