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Finding the Fourth Proportional to 1,072.03, 1,610.74 and 682.20

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Solution

The fourth proportional to 1,072.03, 1,610.74 and 682.20 is: 1,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.03 : 1,610.74 = 682.20 : x
  2. Step 2: Convert to fraction form
    1,072.03/1,610.74 = 682.20/x
  3. Step 3: Cross multiply
    1,072.03x = 1,610.74 × 682.20
  4. Step 4: Simplify right side
    1,072.03x = 1,098,843.84
  5. Step 5: Solve for x
    x = 1,098,843.84/1,072.03
  6. Step 6: Final answer
    x = 1,025.01

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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.