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Finding the Fourth Proportional to 1,072.74, 1,601.42 and 1,025.46

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Solution

The fourth proportional to 1,072.74, 1,601.42 and 1,025.46 is: 1,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.74 : 1,601.42 = 1,025.46 : x
  2. Step 2: Convert to fraction form
    1,072.74/1,601.42 = 1,025.46/x
  3. Step 3: Cross multiply
    1,072.74x = 1,601.42 × 1,025.46
  4. Step 4: Simplify right side
    1,072.74x = 1,642,187.03
  5. Step 5: Solve for x
    x = 1,642,187.03/1,072.74
  6. Step 6: Final answer
    x = 1,530.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.