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Finding the Fourth Proportional to 1,193.10, 1,789.65 and 327.41

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Solution

The fourth proportional to 1,193.10, 1,789.65 and 327.41 is: 491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.10 : 1,789.65 = 327.41 : x
  2. Step 2: Convert to fraction form
    1,193.10/1,789.65 = 327.41/x
  3. Step 3: Cross multiply
    1,193.10x = 1,789.65 × 327.41
  4. Step 4: Simplify right side
    1,193.10x = 585,949.31
  5. Step 5: Solve for x
    x = 585,949.31/1,193.10
  6. Step 6: Final answer
    x = 491.12

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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.