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Finding the Fourth Proportional to 1,193.78, 1,790.43 and 327.89

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Solution

The fourth proportional to 1,193.78, 1,790.43 and 327.89 is: 491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.78 : 1,790.43 = 327.89 : x
  2. Step 2: Convert to fraction form
    1,193.78/1,790.43 = 327.89/x
  3. Step 3: Cross multiply
    1,193.78x = 1,790.43 × 327.89
  4. Step 4: Simplify right side
    1,193.78x = 587,064.09
  5. Step 5: Solve for x
    x = 587,064.09/1,193.78
  6. Step 6: Final answer
    x = 491.77

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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.