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Finding the Fourth Proportional to 1,096.63, 1,645.75 and 519.50

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Solution

The fourth proportional to 1,096.63, 1,645.75 and 519.50 is: 779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.63 : 1,645.75 = 519.50 : x
  2. Step 2: Convert to fraction form
    1,096.63/1,645.75 = 519.50/x
  3. Step 3: Cross multiply
    1,096.63x = 1,645.75 × 519.50
  4. Step 4: Simplify right side
    1,096.63x = 854,965.83
  5. Step 5: Solve for x
    x = 854,965.83/1,096.63
  6. Step 6: Final answer
    x = 779.63

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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.