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Finding the Fourth Proportional to 1,096.32, 1,644.80 and 519.68

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Solution

The fourth proportional to 1,096.32, 1,644.80 and 519.68 is: 779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.32 : 1,644.80 = 519.68 : x
  2. Step 2: Convert to fraction form
    1,096.32/1,644.80 = 519.68/x
  3. Step 3: Cross multiply
    1,096.32x = 1,644.80 × 519.68
  4. Step 4: Simplify right side
    1,096.32x = 854,769.66
  5. Step 5: Solve for x
    x = 854,769.66/1,096.32
  6. Step 6: Final answer
    x = 779.67

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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.