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Finding the Fourth Proportional to 1,552.11, 2,324.82 and 729.15

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Solution

The fourth proportional to 1,552.11, 2,324.82 and 729.15 is: 1,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.11 : 2,324.82 = 729.15 : x
  2. Step 2: Convert to fraction form
    1,552.11/2,324.82 = 729.15/x
  3. Step 3: Cross multiply
    1,552.11x = 2,324.82 × 729.15
  4. Step 4: Simplify right side
    1,552.11x = 1,695,142.50
  5. Step 5: Solve for x
    x = 1,695,142.50/1,552.11
  6. Step 6: Final answer
    x = 1,092.15

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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.