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Finding the Fourth Proportional to 669.38, 1,004.12 and 182.43

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Solution

The fourth proportional to 669.38, 1,004.12 and 182.43 is: 273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.38 : 1,004.12 = 182.43 : x
  2. Step 2: Convert to fraction form
    669.38/1,004.12 = 182.43/x
  3. Step 3: Cross multiply
    669.38x = 1,004.12 × 182.43
  4. Step 4: Simplify right side
    669.38x = 183,181.61
  5. Step 5: Solve for x
    x = 183,181.61/669.38
  6. Step 6: Final answer
    x = 273.66

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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.