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Finding the Fourth Proportional to 1,203.57, 1,660.68 and 731.73

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Solution

The fourth proportional to 1,203.57, 1,660.68 and 731.73 is: 1,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.57 : 1,660.68 = 731.73 : x
  2. Step 2: Convert to fraction form
    1,203.57/1,660.68 = 731.73/x
  3. Step 3: Cross multiply
    1,203.57x = 1,660.68 × 731.73
  4. Step 4: Simplify right side
    1,203.57x = 1,215,169.38
  5. Step 5: Solve for x
    x = 1,215,169.38/1,203.57
  6. Step 6: Final answer
    x = 1,009.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.