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Finding the Fourth Proportional to 1,399.60, 2,099.75 and 989.54

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Solution

The fourth proportional to 1,399.60, 2,099.75 and 989.54 is: 1,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.60 : 2,099.75 = 989.54 : x
  2. Step 2: Convert to fraction form
    1,399.60/2,099.75 = 989.54/x
  3. Step 3: Cross multiply
    1,399.60x = 2,099.75 × 989.54
  4. Step 4: Simplify right side
    1,399.60x = 2,077,779.04
  5. Step 5: Solve for x
    x = 2,077,779.04/1,399.60
  6. Step 6: Final answer
    x = 1,484.55

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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.