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Finding the Fourth Proportional to 669.03, 1,003.44 and 182.12

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Solution

The fourth proportional to 669.03, 1,003.44 and 182.12 is: 273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.03 : 1,003.44 = 182.12 : x
  2. Step 2: Convert to fraction form
    669.03/1,003.44 = 182.12/x
  3. Step 3: Cross multiply
    669.03x = 1,003.44 × 182.12
  4. Step 4: Simplify right side
    669.03x = 182,742.73
  5. Step 5: Solve for x
    x = 182,742.73/669.03
  6. Step 6: Final answer
    x = 273.15

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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.