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Finding the Fourth Proportional to 1,096.25, 1,645.19 and 519.13

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Solution

The fourth proportional to 1,096.25, 1,645.19 and 519.13 is: 779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.25 : 1,645.19 = 519.13 : x
  2. Step 2: Convert to fraction form
    1,096.25/1,645.19 = 519.13/x
  3. Step 3: Cross multiply
    1,096.25x = 1,645.19 × 519.13
  4. Step 4: Simplify right side
    1,096.25x = 854,056.66
  5. Step 5: Solve for x
    x = 854,056.66/1,096.25
  6. Step 6: Final answer
    x = 779.07

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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.