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Finding the Fourth Proportional to 806.78, 1,210.44 and 319.97

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Solution

The fourth proportional to 806.78, 1,210.44 and 319.97 is: 480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.78 : 1,210.44 = 319.97 : x
  2. Step 2: Convert to fraction form
    806.78/1,210.44 = 319.97/x
  3. Step 3: Cross multiply
    806.78x = 1,210.44 × 319.97
  4. Step 4: Simplify right side
    806.78x = 387,304.49
  5. Step 5: Solve for x
    x = 387,304.49/806.78
  6. Step 6: Final answer
    x = 480.06

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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.