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Finding the Fourth Proportional to 1,204.24, 1,806.48 and 338.56

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Solution

The fourth proportional to 1,204.24, 1,806.48 and 338.56 is: 507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.24 : 1,806.48 = 338.56 : x
  2. Step 2: Convert to fraction form
    1,204.24/1,806.48 = 338.56/x
  3. Step 3: Cross multiply
    1,204.24x = 1,806.48 × 338.56
  4. Step 4: Simplify right side
    1,204.24x = 611,601.87
  5. Step 5: Solve for x
    x = 611,601.87/1,204.24
  6. Step 6: Final answer
    x = 507.87

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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.