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Finding the Fourth Proportional to 1,093.67, 1,517 and 1,054.27

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Solution

The fourth proportional to 1,093.67, 1,517 and 1,054.27 is: 1,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.67 : 1,517 = 1,054.27 : x
  2. Step 2: Convert to fraction form
    1,093.67/1,517 = 1,054.27/x
  3. Step 3: Cross multiply
    1,093.67x = 1,517 × 1,054.27
  4. Step 4: Simplify right side
    1,093.67x = 1,599,327.59
  5. Step 5: Solve for x
    x = 1,599,327.59/1,093.67
  6. Step 6: Final answer
    x = 1,462.35

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.