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Finding the Fourth Proportional to 908.85, 1,361.97 and 518.04

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Solution

The fourth proportional to 908.85, 1,361.97 and 518.04 is: 776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.85 : 1,361.97 = 518.04 : x
  2. Step 2: Convert to fraction form
    908.85/1,361.97 = 518.04/x
  3. Step 3: Cross multiply
    908.85x = 1,361.97 × 518.04
  4. Step 4: Simplify right side
    908.85x = 705,552.35
  5. Step 5: Solve for x
    x = 705,552.35/908.85
  6. Step 6: Final answer
    x = 776.32

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Why These Related Problems?

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