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Finding the Fourth Proportional to 821.56, 1,233.15 and 359.65

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Solution

The fourth proportional to 821.56, 1,233.15 and 359.65 is: 539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.56 : 1,233.15 = 359.65 : x
  2. Step 2: Convert to fraction form
    821.56/1,233.15 = 359.65/x
  3. Step 3: Cross multiply
    821.56x = 1,233.15 × 359.65
  4. Step 4: Simplify right side
    821.56x = 443,500.60
  5. Step 5: Solve for x
    x = 443,500.60/821.56
  6. Step 6: Final answer
    x = 539.83

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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.