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Finding the Fourth Proportional to 1,108.18, 1,527.87 and 908.27

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Solution

The fourth proportional to 1,108.18, 1,527.87 and 908.27 is: 1,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.18 : 1,527.87 = 908.27 : x
  2. Step 2: Convert to fraction form
    1,108.18/1,527.87 = 908.27/x
  3. Step 3: Cross multiply
    1,108.18x = 1,527.87 × 908.27
  4. Step 4: Simplify right side
    1,108.18x = 1,387,717.76
  5. Step 5: Solve for x
    x = 1,387,717.76/1,108.18
  6. Step 6: Final answer
    x = 1,252.25

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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.