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Finding the Fourth Proportional to 806.57, 1,209.00 and 344.57

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Solution

The fourth proportional to 806.57, 1,209.00 and 344.57 is: 516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.57 : 1,209.00 = 344.57 : x
  2. Step 2: Convert to fraction form
    806.57/1,209.00 = 344.57/x
  3. Step 3: Cross multiply
    806.57x = 1,209.00 × 344.57
  4. Step 4: Simplify right side
    806.57x = 416,581.11
  5. Step 5: Solve for x
    x = 416,581.11/806.57
  6. Step 6: Final answer
    x = 516.48

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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.