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Finding the Fourth Proportional to 1,144.20, 1,576.69 and 828.92

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Solution

The fourth proportional to 1,144.20, 1,576.69 and 828.92 is: 1,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.20 : 1,576.69 = 828.92 : x
  2. Step 2: Convert to fraction form
    1,144.20/1,576.69 = 828.92/x
  3. Step 3: Cross multiply
    1,144.20x = 1,576.69 × 828.92
  4. Step 4: Simplify right side
    1,144.20x = 1,306,949.87
  5. Step 5: Solve for x
    x = 1,306,949.87/1,144.20
  6. Step 6: Final answer
    x = 1,142.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.