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Finding the Fourth Proportional to 1,468.12, 2,202.12 and 645.96

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Solution

The fourth proportional to 1,468.12, 2,202.12 and 645.96 is: 968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.12 : 2,202.12 = 645.96 : x
  2. Step 2: Convert to fraction form
    1,468.12/2,202.12 = 645.96/x
  3. Step 3: Cross multiply
    1,468.12x = 2,202.12 × 645.96
  4. Step 4: Simplify right side
    1,468.12x = 1,422,481.44
  5. Step 5: Solve for x
    x = 1,422,481.44/1,468.12
  6. Step 6: Final answer
    x = 968.91

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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.