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Finding the Fourth Proportional to 1,264.25, 1,745.53 and 1,181.14

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Solution

The fourth proportional to 1,264.25, 1,745.53 and 1,181.14 is: 1,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.25 : 1,745.53 = 1,181.14 : x
  2. Step 2: Convert to fraction form
    1,264.25/1,745.53 = 1,181.14/x
  3. Step 3: Cross multiply
    1,264.25x = 1,745.53 × 1,181.14
  4. Step 4: Simplify right side
    1,264.25x = 2,061,707.99
  5. Step 5: Solve for x
    x = 2,061,707.99/1,264.25
  6. Step 6: Final answer
    x = 1,630.77

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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.