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Finding the Fourth Proportional to 676.52, 1,015.10 and 665.60

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Solution

The fourth proportional to 676.52, 1,015.10 and 665.60 is: 998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.52 : 1,015.10 = 665.60 : x
  2. Step 2: Convert to fraction form
    676.52/1,015.10 = 665.60/x
  3. Step 3: Cross multiply
    676.52x = 1,015.10 × 665.60
  4. Step 4: Simplify right side
    676.52x = 675,647.23
  5. Step 5: Solve for x
    x = 675,647.23/676.52
  6. Step 6: Final answer
    x = 998.71

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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.