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Finding the Fourth Proportional to 669.20, 1,005.96 and 665.96

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Solution

The fourth proportional to 669.20, 1,005.96 and 665.96 is: 1,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.20 : 1,005.96 = 665.96 : x
  2. Step 2: Convert to fraction form
    669.20/1,005.96 = 665.96/x
  3. Step 3: Cross multiply
    669.20x = 1,005.96 × 665.96
  4. Step 4: Simplify right side
    669.20x = 669,929.12
  5. Step 5: Solve for x
    x = 669,929.12/669.20
  6. Step 6: Final answer
    x = 1,001.09

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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.