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Finding the Fourth Proportional to 1,442.56, 2,163.92 and 402.56

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Solution

The fourth proportional to 1,442.56, 2,163.92 and 402.56 is: 603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.56 : 2,163.92 = 402.56 : x
  2. Step 2: Convert to fraction form
    1,442.56/2,163.92 = 402.56/x
  3. Step 3: Cross multiply
    1,442.56x = 2,163.92 × 402.56
  4. Step 4: Simplify right side
    1,442.56x = 871,107.64
  5. Step 5: Solve for x
    x = 871,107.64/1,442.56
  6. Step 6: Final answer
    x = 603.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.