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Finding the Fourth Proportional to 1,106.97, 1,660.20 and 327.02

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Solution

The fourth proportional to 1,106.97, 1,660.20 and 327.02 is: 490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.97 : 1,660.20 = 327.02 : x
  2. Step 2: Convert to fraction form
    1,106.97/1,660.20 = 327.02/x
  3. Step 3: Cross multiply
    1,106.97x = 1,660.20 × 327.02
  4. Step 4: Simplify right side
    1,106.97x = 542,918.60
  5. Step 5: Solve for x
    x = 542,918.60/1,106.97
  6. Step 6: Final answer
    x = 490.45

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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.