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Finding the Fourth Proportional to 1,204.04, 1,660.96 and 731.82

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Solution

The fourth proportional to 1,204.04, 1,660.96 and 731.82 is: 1,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.04 : 1,660.96 = 731.82 : x
  2. Step 2: Convert to fraction form
    1,204.04/1,660.96 = 731.82/x
  3. Step 3: Cross multiply
    1,204.04x = 1,660.96 × 731.82
  4. Step 4: Simplify right side
    1,204.04x = 1,215,523.75
  5. Step 5: Solve for x
    x = 1,215,523.75/1,204.04
  6. Step 6: Final answer
    x = 1,009.54

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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.