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Finding the Fourth Proportional to 1,203.00, 1,801.09 and 831.97

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Solution

The fourth proportional to 1,203.00, 1,801.09 and 831.97 is: 1,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.00 : 1,801.09 = 831.97 : x
  2. Step 2: Convert to fraction form
    1,203.00/1,801.09 = 831.97/x
  3. Step 3: Cross multiply
    1,203.00x = 1,801.09 × 831.97
  4. Step 4: Simplify right side
    1,203.00x = 1,498,451.46
  5. Step 5: Solve for x
    x = 1,498,451.46/1,203.00
  6. Step 6: Final answer
    x = 1,245.59

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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.