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Finding the Fourth Proportional to 1,442.36, 2,163.51 and 455.12

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Solution

The fourth proportional to 1,442.36, 2,163.51 and 455.12 is: 682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.36 : 2,163.51 = 455.12 : x
  2. Step 2: Convert to fraction form
    1,442.36/2,163.51 = 455.12/x
  3. Step 3: Cross multiply
    1,442.36x = 2,163.51 × 455.12
  4. Step 4: Simplify right side
    1,442.36x = 984,653.97
  5. Step 5: Solve for x
    x = 984,653.97/1,442.36
  6. Step 6: Final answer
    x = 682.67

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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.