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Finding the Fourth Proportional to 1,107.62, 1,661.28 and 327.60

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Solution

The fourth proportional to 1,107.62, 1,661.28 and 327.60 is: 491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.62 : 1,661.28 = 327.60 : x
  2. Step 2: Convert to fraction form
    1,107.62/1,661.28 = 327.60/x
  3. Step 3: Cross multiply
    1,107.62x = 1,661.28 × 327.60
  4. Step 4: Simplify right side
    1,107.62x = 544,240.30
  5. Step 5: Solve for x
    x = 544,240.30/1,107.62
  6. Step 6: Final answer
    x = 491.36

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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.