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Finding the Fourth Proportional to 982.13, 1,473.14 and 827.79

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Solution

The fourth proportional to 982.13, 1,473.14 and 827.79 is: 1,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.13 : 1,473.14 = 827.79 : x
  2. Step 2: Convert to fraction form
    982.13/1,473.14 = 827.79/x
  3. Step 3: Cross multiply
    982.13x = 1,473.14 × 827.79
  4. Step 4: Simplify right side
    982.13x = 1,219,446.42
  5. Step 5: Solve for x
    x = 1,219,446.42/982.13
  6. Step 6: Final answer
    x = 1,241.64

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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.