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Finding the Fourth Proportional to 1,027.92, 1,416.46 and 908.99

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Solution

The fourth proportional to 1,027.92, 1,416.46 and 908.99 is: 1,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.92 : 1,416.46 = 908.99 : x
  2. Step 2: Convert to fraction form
    1,027.92/1,416.46 = 908.99/x
  3. Step 3: Cross multiply
    1,027.92x = 1,416.46 × 908.99
  4. Step 4: Simplify right side
    1,027.92x = 1,287,536.35
  5. Step 5: Solve for x
    x = 1,287,536.35/1,027.92
  6. Step 6: Final answer
    x = 1,252.56

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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.