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Finding the Fourth Proportional to 1,096.69, 1,645.70 and 480.39

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Solution

The fourth proportional to 1,096.69, 1,645.70 and 480.39 is: 720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.69 : 1,645.70 = 480.39 : x
  2. Step 2: Convert to fraction form
    1,096.69/1,645.70 = 480.39/x
  3. Step 3: Cross multiply
    1,096.69x = 1,645.70 × 480.39
  4. Step 4: Simplify right side
    1,096.69x = 790,577.82
  5. Step 5: Solve for x
    x = 790,577.82/1,096.69
  6. Step 6: Final answer
    x = 720.88

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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.