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Finding the Fourth Proportional to 821.40, 1,232.10 and 814.20

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Solution

The fourth proportional to 821.40, 1,232.10 and 814.20 is: 1,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.40 : 1,232.10 = 814.20 : x
  2. Step 2: Convert to fraction form
    821.40/1,232.10 = 814.20/x
  3. Step 3: Cross multiply
    821.40x = 1,232.10 × 814.20
  4. Step 4: Simplify right side
    821.40x = 1,003,175.82
  5. Step 5: Solve for x
    x = 1,003,175.82/821.40
  6. Step 6: Final answer
    x = 1,221.30

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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.