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Finding the Fourth Proportional to 1,193.78, 1,790.42 and 327.90

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Solution

The fourth proportional to 1,193.78, 1,790.42 and 327.90 is: 491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.78 : 1,790.42 = 327.90 : x
  2. Step 2: Convert to fraction form
    1,193.78/1,790.42 = 327.90/x
  3. Step 3: Cross multiply
    1,193.78x = 1,790.42 × 327.90
  4. Step 4: Simplify right side
    1,193.78x = 587,078.72
  5. Step 5: Solve for x
    x = 587,078.72/1,193.78
  6. Step 6: Final answer
    x = 491.78

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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.