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Finding the Fourth Proportional to 827.33, 1,240.16 and 415.22

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Solution

The fourth proportional to 827.33, 1,240.16 and 415.22 is: 622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.33 : 1,240.16 = 415.22 : x
  2. Step 2: Convert to fraction form
    827.33/1,240.16 = 415.22/x
  3. Step 3: Cross multiply
    827.33x = 1,240.16 × 415.22
  4. Step 4: Simplify right side
    827.33x = 514,930.96
  5. Step 5: Solve for x
    x = 514,930.96/827.33
  6. Step 6: Final answer
    x = 622.40

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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.