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Finding the Fourth Proportional to 1,442.03, 2,163.57 and 505.12

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Solution

The fourth proportional to 1,442.03, 2,163.57 and 505.12 is: 757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.03 : 2,163.57 = 505.12 : x
  2. Step 2: Convert to fraction form
    1,442.03/2,163.57 = 505.12/x
  3. Step 3: Cross multiply
    1,442.03x = 2,163.57 × 505.12
  4. Step 4: Simplify right side
    1,442.03x = 1,092,858.96
  5. Step 5: Solve for x
    x = 1,092,858.96/1,442.03
  6. Step 6: Final answer
    x = 757.86

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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.