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Finding the Fourth Proportional to 805, 1,206.59 and 371.26

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Solution

The fourth proportional to 805, 1,206.59 and 371.26 is: 556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    805 : 1,206.59 = 371.26 : x
  2. Step 2: Convert to fraction form
    805/1,206.59 = 371.26/x
  3. Step 3: Cross multiply
    805x = 1,206.59 × 371.26
  4. Step 4: Simplify right side
    805x = 447,958.60
  5. Step 5: Solve for x
    x = 447,958.60/805
  6. Step 6: Final answer
    x = 556.47

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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.