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Finding the Fourth Proportional to 676.66, 1,015.44 and 243.82

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Solution

The fourth proportional to 676.66, 1,015.44 and 243.82 is: 365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.66 : 1,015.44 = 243.82 : x
  2. Step 2: Convert to fraction form
    676.66/1,015.44 = 243.82/x
  3. Step 3: Cross multiply
    676.66x = 1,015.44 × 243.82
  4. Step 4: Simplify right side
    676.66x = 247,584.58
  5. Step 5: Solve for x
    x = 247,584.58/676.66
  6. Step 6: Final answer
    x = 365.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.