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Finding the Fourth Proportional to 1,103.41, 1,522.29 and 729.73

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Solution

The fourth proportional to 1,103.41, 1,522.29 and 729.73 is: 1,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.41 : 1,522.29 = 729.73 : x
  2. Step 2: Convert to fraction form
    1,103.41/1,522.29 = 729.73/x
  3. Step 3: Cross multiply
    1,103.41x = 1,522.29 × 729.73
  4. Step 4: Simplify right side
    1,103.41x = 1,110,860.68
  5. Step 5: Solve for x
    x = 1,110,860.68/1,103.41
  6. Step 6: Final answer
    x = 1,006.75

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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.