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Finding the Fourth Proportional to 1,027.08, 1,408.16 and 1,008.66

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Solution

The fourth proportional to 1,027.08, 1,408.16 and 1,008.66 is: 1,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.08 : 1,408.16 = 1,008.66 : x
  2. Step 2: Convert to fraction form
    1,027.08/1,408.16 = 1,008.66/x
  3. Step 3: Cross multiply
    1,027.08x = 1,408.16 × 1,008.66
  4. Step 4: Simplify right side
    1,027.08x = 1,420,348.12
  5. Step 5: Solve for x
    x = 1,420,348.12/1,027.08
  6. Step 6: Final answer
    x = 1,382.89

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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.