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Finding the Fourth Proportional to 1,350.45, 2,025.67 and 699.81

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Solution

The fourth proportional to 1,350.45, 2,025.67 and 699.81 is: 1,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.45 : 2,025.67 = 699.81 : x
  2. Step 2: Convert to fraction form
    1,350.45/2,025.67 = 699.81/x
  3. Step 3: Cross multiply
    1,350.45x = 2,025.67 × 699.81
  4. Step 4: Simplify right side
    1,350.45x = 1,417,587.44
  5. Step 5: Solve for x
    x = 1,417,587.44/1,350.45
  6. Step 6: Final answer
    x = 1,049.72

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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.