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Finding the Fourth Proportional to 827.74, 1,241.61 and 393.58

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Solution

The fourth proportional to 827.74, 1,241.61 and 393.58 is: 590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.74 : 1,241.61 = 393.58 : x
  2. Step 2: Convert to fraction form
    827.74/1,241.61 = 393.58/x
  3. Step 3: Cross multiply
    827.74x = 1,241.61 × 393.58
  4. Step 4: Simplify right side
    827.74x = 488,672.86
  5. Step 5: Solve for x
    x = 488,672.86/827.74
  6. Step 6: Final answer
    x = 590.37

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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.