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Finding the Fourth Proportional to 1,218.43, 1,829.27 and 725.75

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Solution

The fourth proportional to 1,218.43, 1,829.27 and 725.75 is: 1,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.43 : 1,829.27 = 725.75 : x
  2. Step 2: Convert to fraction form
    1,218.43/1,829.27 = 725.75/x
  3. Step 3: Cross multiply
    1,218.43x = 1,829.27 × 725.75
  4. Step 4: Simplify right side
    1,218.43x = 1,327,592.70
  5. Step 5: Solve for x
    x = 1,327,592.70/1,218.43
  6. Step 6: Final answer
    x = 1,089.59

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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.