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Finding the Fourth Proportional to 869.82, 1,305.30 and 382.86

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Solution

The fourth proportional to 869.82, 1,305.30 and 382.86 is: 574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.82 : 1,305.30 = 382.86 : x
  2. Step 2: Convert to fraction form
    869.82/1,305.30 = 382.86/x
  3. Step 3: Cross multiply
    869.82x = 1,305.30 × 382.86
  4. Step 4: Simplify right side
    869.82x = 499,747.16
  5. Step 5: Solve for x
    x = 499,747.16/869.82
  6. Step 6: Final answer
    x = 574.54

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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.