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Finding the Fourth Proportional to 1,096.24, 1,644.36 and 519.52

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Solution

The fourth proportional to 1,096.24, 1,644.36 and 519.52 is: 779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.24 : 1,644.36 = 519.52 : x
  2. Step 2: Convert to fraction form
    1,096.24/1,644.36 = 519.52/x
  3. Step 3: Cross multiply
    1,096.24x = 1,644.36 × 519.52
  4. Step 4: Simplify right side
    1,096.24x = 854,277.91
  5. Step 5: Solve for x
    x = 854,277.91/1,096.24
  6. Step 6: Final answer
    x = 779.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.