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Finding the Fourth Proportional to 1,398.83, 2,099.00 and 851.39

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Solution

The fourth proportional to 1,398.83, 2,099.00 and 851.39 is: 1,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.83 : 2,099.00 = 851.39 : x
  2. Step 2: Convert to fraction form
    1,398.83/2,099.00 = 851.39/x
  3. Step 3: Cross multiply
    1,398.83x = 2,099.00 × 851.39
  4. Step 4: Simplify right side
    1,398.83x = 1,787,052.86
  5. Step 5: Solve for x
    x = 1,787,052.86/1,398.83
  6. Step 6: Final answer
    x = 1,277.54

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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.