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Finding the Fourth Proportional to 1,399.12, 2,099.28 and 668.68

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Solution

The fourth proportional to 1,399.12, 2,099.28 and 668.68 is: 1,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.12 : 2,099.28 = 668.68 : x
  2. Step 2: Convert to fraction form
    1,399.12/2,099.28 = 668.68/x
  3. Step 3: Cross multiply
    1,399.12x = 2,099.28 × 668.68
  4. Step 4: Simplify right side
    1,399.12x = 1,403,746.55
  5. Step 5: Solve for x
    x = 1,403,746.55/1,399.12
  6. Step 6: Final answer
    x = 1,003.31

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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.