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Finding the Fourth Proportional to 827.91, 1,240.19 and 416.48

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Solution

The fourth proportional to 827.91, 1,240.19 and 416.48 is: 623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.91 : 1,240.19 = 416.48 : x
  2. Step 2: Convert to fraction form
    827.91/1,240.19 = 416.48/x
  3. Step 3: Cross multiply
    827.91x = 1,240.19 × 416.48
  4. Step 4: Simplify right side
    827.91x = 516,506.05
  5. Step 5: Solve for x
    x = 516,506.05/827.91
  6. Step 6: Final answer
    x = 623.87

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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.