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Finding the Fourth Proportional to 821.27, 1,230.67 and 456.17

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Solution

The fourth proportional to 821.27, 1,230.67 and 456.17 is: 683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.27 : 1,230.67 = 456.17 : x
  2. Step 2: Convert to fraction form
    821.27/1,230.67 = 456.17/x
  3. Step 3: Cross multiply
    821.27x = 1,230.67 × 456.17
  4. Step 4: Simplify right side
    821.27x = 561,394.73
  5. Step 5: Solve for x
    x = 561,394.73/821.27
  6. Step 6: Final answer
    x = 683.57

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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.