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Finding the Fourth Proportional to 1,318.23, 1,819.17 and 728.82

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Solution

The fourth proportional to 1,318.23, 1,819.17 and 728.82 is: 1,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.23 : 1,819.17 = 728.82 : x
  2. Step 2: Convert to fraction form
    1,318.23/1,819.17 = 728.82/x
  3. Step 3: Cross multiply
    1,318.23x = 1,819.17 × 728.82
  4. Step 4: Simplify right side
    1,318.23x = 1,325,847.48
  5. Step 5: Solve for x
    x = 1,325,847.48/1,318.23
  6. Step 6: Final answer
    x = 1,005.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.