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Finding the Fourth Proportional to 1,204.26, 1,806.39 and 338.57

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Solution

The fourth proportional to 1,204.26, 1,806.39 and 338.57 is: 507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.26 : 1,806.39 = 338.57 : x
  2. Step 2: Convert to fraction form
    1,204.26/1,806.39 = 338.57/x
  3. Step 3: Cross multiply
    1,204.26x = 1,806.39 × 338.57
  4. Step 4: Simplify right side
    1,204.26x = 611,587.20
  5. Step 5: Solve for x
    x = 611,587.20/1,204.26
  6. Step 6: Final answer
    x = 507.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.