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Finding the Fourth Proportional to 1,399.70, 2,099.60 and 669.35

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Solution

The fourth proportional to 1,399.70, 2,099.60 and 669.35 is: 1,004.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.70 : 2,099.60 = 669.35 : x
  2. Step 2: Convert to fraction form
    1,399.70/2,099.60 = 669.35/x
  3. Step 3: Cross multiply
    1,399.70x = 2,099.60 × 669.35
  4. Step 4: Simplify right side
    1,399.70x = 1,405,353.42
  5. Step 5: Solve for x
    x = 1,405,353.42/1,399.70
  6. Step 6: Final answer
    x = 1,004.04

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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.