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Finding the Fourth Proportional to 1,236.85, 1,855.31 and 505.91

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Solution

The fourth proportional to 1,236.85, 1,855.31 and 505.91 is: 758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.85 : 1,855.31 = 505.91 : x
  2. Step 2: Convert to fraction form
    1,236.85/1,855.31 = 505.91/x
  3. Step 3: Cross multiply
    1,236.85x = 1,855.31 × 505.91
  4. Step 4: Simplify right side
    1,236.85x = 938,621.99
  5. Step 5: Solve for x
    x = 938,621.99/1,236.85
  6. Step 6: Final answer
    x = 758.88

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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.