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Finding the Fourth Proportional to 908.12, 1,361.05 and 518.45

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Solution

The fourth proportional to 908.12, 1,361.05 and 518.45 is: 777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.12 : 1,361.05 = 518.45 : x
  2. Step 2: Convert to fraction form
    908.12/1,361.05 = 518.45/x
  3. Step 3: Cross multiply
    908.12x = 1,361.05 × 518.45
  4. Step 4: Simplify right side
    908.12x = 705,628.27
  5. Step 5: Solve for x
    x = 705,628.27/908.12
  6. Step 6: Final answer
    x = 777.02

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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.