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Finding the Fourth Proportional to 827.20, 1,241.60 and 394.64

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Solution

The fourth proportional to 827.20, 1,241.60 and 394.64 is: 592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.20 : 1,241.60 = 394.64 : x
  2. Step 2: Convert to fraction form
    827.20/1,241.60 = 394.64/x
  3. Step 3: Cross multiply
    827.20x = 1,241.60 × 394.64
  4. Step 4: Simplify right side
    827.20x = 489,985.02
  5. Step 5: Solve for x
    x = 489,985.02/827.20
  6. Step 6: Final answer
    x = 592.34

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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.