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Finding the Fourth Proportional to 1,091.34, 1,634.85 and 908.15

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Solution

The fourth proportional to 1,091.34, 1,634.85 and 908.15 is: 1,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.34 : 1,634.85 = 908.15 : x
  2. Step 2: Convert to fraction form
    1,091.34/1,634.85 = 908.15/x
  3. Step 3: Cross multiply
    1,091.34x = 1,634.85 × 908.15
  4. Step 4: Simplify right side
    1,091.34x = 1,484,680.85
  5. Step 5: Solve for x
    x = 1,484,680.85/1,091.34
  6. Step 6: Final answer
    x = 1,360.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.