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Finding the Fourth Proportional to 821.34, 1,231.40 and 410.27

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Solution

The fourth proportional to 821.34, 1,231.40 and 410.27 is: 615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.34 : 1,231.40 = 410.27 : x
  2. Step 2: Convert to fraction form
    821.34/1,231.40 = 410.27/x
  3. Step 3: Cross multiply
    821.34x = 1,231.40 × 410.27
  4. Step 4: Simplify right side
    821.34x = 505,201.35
  5. Step 5: Solve for x
    x = 505,201.35/821.34
  6. Step 6: Final answer
    x = 615.09

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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.