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Finding the Fourth Proportional to 982.75, 1,476.17 and 828.97

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Solution

The fourth proportional to 982.75, 1,476.17 and 828.97 is: 1,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.75 : 1,476.17 = 828.97 : x
  2. Step 2: Convert to fraction form
    982.75/1,476.17 = 828.97/x
  3. Step 3: Cross multiply
    982.75x = 1,476.17 × 828.97
  4. Step 4: Simplify right side
    982.75x = 1,223,700.64
  5. Step 5: Solve for x
    x = 1,223,700.64/982.75
  6. Step 6: Final answer
    x = 1,245.18

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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.