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Finding the Fourth Proportional to 1,096.36, 1,644.63 and 345.82

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Solution

The fourth proportional to 1,096.36, 1,644.63 and 345.82 is: 518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.36 : 1,644.63 = 345.82 : x
  2. Step 2: Convert to fraction form
    1,096.36/1,644.63 = 345.82/x
  3. Step 3: Cross multiply
    1,096.36x = 1,644.63 × 345.82
  4. Step 4: Simplify right side
    1,096.36x = 568,745.95
  5. Step 5: Solve for x
    x = 568,745.95/1,096.36
  6. Step 6: Final answer
    x = 518.76

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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.