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Finding the Fourth Proportional to 806.19, 1,209.14 and 243.31

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Solution

The fourth proportional to 806.19, 1,209.14 and 243.31 is: 364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.19 : 1,209.14 = 243.31 : x
  2. Step 2: Convert to fraction form
    806.19/1,209.14 = 243.31/x
  3. Step 3: Cross multiply
    806.19x = 1,209.14 × 243.31
  4. Step 4: Simplify right side
    806.19x = 294,195.85
  5. Step 5: Solve for x
    x = 294,195.85/806.19
  6. Step 6: Final answer
    x = 364.92

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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.