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Finding the Fourth Proportional to 908.24, 1,361.75 and 518.68

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Solution

The fourth proportional to 908.24, 1,361.75 and 518.68 is: 777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.24 : 1,361.75 = 518.68 : x
  2. Step 2: Convert to fraction form
    908.24/1,361.75 = 518.68/x
  3. Step 3: Cross multiply
    908.24x = 1,361.75 × 518.68
  4. Step 4: Simplify right side
    908.24x = 706,305.68
  5. Step 5: Solve for x
    x = 706,305.68/908.24
  6. Step 6: Final answer
    x = 777.66

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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.