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Finding the Fourth Proportional to 908.23, 1,361.83 and 830.83

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Solution

The fourth proportional to 908.23, 1,361.83 and 830.83 is: 1,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.23 : 1,361.83 = 830.83 : x
  2. Step 2: Convert to fraction form
    908.23/1,361.83 = 830.83/x
  3. Step 3: Cross multiply
    908.23x = 1,361.83 × 830.83
  4. Step 4: Simplify right side
    908.23x = 1,131,449.22
  5. Step 5: Solve for x
    x = 1,131,449.22/908.23
  6. Step 6: Final answer
    x = 1,245.77

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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.