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Finding the Fourth Proportional to 806.49, 1,209.83 and 319.59

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Solution

The fourth proportional to 806.49, 1,209.83 and 319.59 is: 479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.49 : 1,209.83 = 319.59 : x
  2. Step 2: Convert to fraction form
    806.49/1,209.83 = 319.59/x
  3. Step 3: Cross multiply
    806.49x = 1,209.83 × 319.59
  4. Step 4: Simplify right side
    806.49x = 386,647.97
  5. Step 5: Solve for x
    x = 386,647.97/806.49
  6. Step 6: Final answer
    x = 479.42

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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.