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Finding the Fourth Proportional to 1,236.72, 1,855.81 and 457.27

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Solution

The fourth proportional to 1,236.72, 1,855.81 and 457.27 is: 686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.72 : 1,855.81 = 457.27 : x
  2. Step 2: Convert to fraction form
    1,236.72/1,855.81 = 457.27/x
  3. Step 3: Cross multiply
    1,236.72x = 1,855.81 × 457.27
  4. Step 4: Simplify right side
    1,236.72x = 848,609.74
  5. Step 5: Solve for x
    x = 848,609.74/1,236.72
  6. Step 6: Final answer
    x = 686.18

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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.