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Finding the Fourth Proportional to 1,772.26, 2,658.96 and 662.25

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Solution

The fourth proportional to 1,772.26, 2,658.96 and 662.25 is: 993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.26 : 2,658.96 = 662.25 : x
  2. Step 2: Convert to fraction form
    1,772.26/2,658.96 = 662.25/x
  3. Step 3: Cross multiply
    1,772.26x = 2,658.96 × 662.25
  4. Step 4: Simplify right side
    1,772.26x = 1,760,906.23
  5. Step 5: Solve for x
    x = 1,760,906.23/1,772.26
  6. Step 6: Final answer
    x = 993.60

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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.