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Finding the Fourth Proportional to 894.80, 1,342.65 and 827.13

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Solution

The fourth proportional to 894.80, 1,342.65 and 827.13 is: 1,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.80 : 1,342.65 = 827.13 : x
  2. Step 2: Convert to fraction form
    894.80/1,342.65 = 827.13/x
  3. Step 3: Cross multiply
    894.80x = 1,342.65 × 827.13
  4. Step 4: Simplify right side
    894.80x = 1,110,546.09
  5. Step 5: Solve for x
    x = 1,110,546.09/894.80
  6. Step 6: Final answer
    x = 1,241.11

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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.