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Finding the Fourth Proportional to 1,442.24, 2,163.56 and 468.24

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Solution

The fourth proportional to 1,442.24, 2,163.56 and 468.24 is: 702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.24 : 2,163.56 = 468.24 : x
  2. Step 2: Convert to fraction form
    1,442.24/2,163.56 = 468.24/x
  3. Step 3: Cross multiply
    1,442.24x = 2,163.56 × 468.24
  4. Step 4: Simplify right side
    1,442.24x = 1,013,065.33
  5. Step 5: Solve for x
    x = 1,013,065.33/1,442.24
  6. Step 6: Final answer
    x = 702.42

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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.