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Finding the Fourth Proportional to 1,096.75, 1,645.94 and 519.63

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Solution

The fourth proportional to 1,096.75, 1,645.94 and 519.63 is: 779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.75 : 1,645.94 = 519.63 : x
  2. Step 2: Convert to fraction form
    1,096.75/1,645.94 = 519.63/x
  3. Step 3: Cross multiply
    1,096.75x = 1,645.94 × 519.63
  4. Step 4: Simplify right side
    1,096.75x = 855,268.97
  5. Step 5: Solve for x
    x = 855,268.97/1,096.75
  6. Step 6: Final answer
    x = 779.82

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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.