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Finding the Fourth Proportional to 1,081.46, 1,493.29 and 1,027.10

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Solution

The fourth proportional to 1,081.46, 1,493.29 and 1,027.10 is: 1,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.46 : 1,493.29 = 1,027.10 : x
  2. Step 2: Convert to fraction form
    1,081.46/1,493.29 = 1,027.10/x
  3. Step 3: Cross multiply
    1,081.46x = 1,493.29 × 1,027.10
  4. Step 4: Simplify right side
    1,081.46x = 1,533,758.16
  5. Step 5: Solve for x
    x = 1,533,758.16/1,081.46
  6. Step 6: Final answer
    x = 1,418.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.