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Finding the Fourth Proportional to 1,217.25, 1,824.81 and 805.53

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Solution

The fourth proportional to 1,217.25, 1,824.81 and 805.53 is: 1,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.25 : 1,824.81 = 805.53 : x
  2. Step 2: Convert to fraction form
    1,217.25/1,824.81 = 805.53/x
  3. Step 3: Cross multiply
    1,217.25x = 1,824.81 × 805.53
  4. Step 4: Simplify right side
    1,217.25x = 1,469,939.20
  5. Step 5: Solve for x
    x = 1,469,939.20/1,217.25
  6. Step 6: Final answer
    x = 1,207.59

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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.