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Finding the Fourth Proportional to 1,442.20, 2,163.72 and 468.28

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Solution

The fourth proportional to 1,442.20, 2,163.72 and 468.28 is: 702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.20 : 2,163.72 = 468.28 : x
  2. Step 2: Convert to fraction form
    1,442.20/2,163.72 = 468.28/x
  3. Step 3: Cross multiply
    1,442.20x = 2,163.72 × 468.28
  4. Step 4: Simplify right side
    1,442.20x = 1,013,226.80
  5. Step 5: Solve for x
    x = 1,013,226.80/1,442.20
  6. Step 6: Final answer
    x = 702.56

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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.