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Finding the Fourth Proportional to 1,193.43, 1,788.67 and 865.49

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Solution

The fourth proportional to 1,193.43, 1,788.67 and 865.49 is: 1,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.43 : 1,788.67 = 865.49 : x
  2. Step 2: Convert to fraction form
    1,193.43/1,788.67 = 865.49/x
  3. Step 3: Cross multiply
    1,193.43x = 1,788.67 × 865.49
  4. Step 4: Simplify right side
    1,193.43x = 1,548,078.36
  5. Step 5: Solve for x
    x = 1,548,078.36/1,193.43
  6. Step 6: Final answer
    x = 1,297.17

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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.