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Finding the Fourth Proportional to 1,201.33, 1,799.13 and 1,026.97

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Solution

The fourth proportional to 1,201.33, 1,799.13 and 1,026.97 is: 1,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.33 : 1,799.13 = 1,026.97 : x
  2. Step 2: Convert to fraction form
    1,201.33/1,799.13 = 1,026.97/x
  3. Step 3: Cross multiply
    1,201.33x = 1,799.13 × 1,026.97
  4. Step 4: Simplify right side
    1,201.33x = 1,847,652.54
  5. Step 5: Solve for x
    x = 1,847,652.54/1,201.33
  6. Step 6: Final answer
    x = 1,538.01

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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.