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Finding the Fourth Proportional to 1,083.12, 1,481.52 and 1,066.20

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Solution

The fourth proportional to 1,083.12, 1,481.52 and 1,066.20 is: 1,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.12 : 1,481.52 = 1,066.20 : x
  2. Step 2: Convert to fraction form
    1,083.12/1,481.52 = 1,066.20/x
  3. Step 3: Cross multiply
    1,083.12x = 1,481.52 × 1,066.20
  4. Step 4: Simplify right side
    1,083.12x = 1,579,596.62
  5. Step 5: Solve for x
    x = 1,579,596.62/1,083.12
  6. Step 6: Final answer
    x = 1,458.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.