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Finding the Fourth Proportional to 1,429.92, 2,144.34 and 505.44

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Solution

The fourth proportional to 1,429.92, 2,144.34 and 505.44 is: 757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.92 : 2,144.34 = 505.44 : x
  2. Step 2: Convert to fraction form
    1,429.92/2,144.34 = 505.44/x
  3. Step 3: Cross multiply
    1,429.92x = 2,144.34 × 505.44
  4. Step 4: Simplify right side
    1,429.92x = 1,083,835.21
  5. Step 5: Solve for x
    x = 1,083,835.21/1,429.92
  6. Step 6: Final answer
    x = 757.97

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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.