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Finding the Fourth Proportional to 827.54, 1,241.42 and 632.91

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Solution

The fourth proportional to 827.54, 1,241.42 and 632.91 is: 949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.54 : 1,241.42 = 632.91 : x
  2. Step 2: Convert to fraction form
    827.54/1,241.42 = 632.91/x
  3. Step 3: Cross multiply
    827.54x = 1,241.42 × 632.91
  4. Step 4: Simplify right side
    827.54x = 785,703.97
  5. Step 5: Solve for x
    x = 785,703.97/827.54
  6. Step 6: Final answer
    x = 949.45

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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.