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Finding the Fourth Proportional to 982.21, 1,472.41 and 798.14

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Solution

The fourth proportional to 982.21, 1,472.41 and 798.14 is: 1,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.21 : 1,472.41 = 798.14 : x
  2. Step 2: Convert to fraction form
    982.21/1,472.41 = 798.14/x
  3. Step 3: Cross multiply
    982.21x = 1,472.41 × 798.14
  4. Step 4: Simplify right side
    982.21x = 1,175,189.32
  5. Step 5: Solve for x
    x = 1,175,189.32/982.21
  6. Step 6: Final answer
    x = 1,196.47

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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.