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Finding the Fourth Proportional to 1,442.12, 2,163.56 and 454.97

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Solution

The fourth proportional to 1,442.12, 2,163.56 and 454.97 is: 682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.12 : 2,163.56 = 454.97 : x
  2. Step 2: Convert to fraction form
    1,442.12/2,163.56 = 454.97/x
  3. Step 3: Cross multiply
    1,442.12x = 2,163.56 × 454.97
  4. Step 4: Simplify right side
    1,442.12x = 984,341.80
  5. Step 5: Solve for x
    x = 984,341.80/1,442.12
  6. Step 6: Final answer
    x = 682.57

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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.