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Finding the Fourth Proportional to 806.94, 1,210.38 and 344.58

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Solution

The fourth proportional to 806.94, 1,210.38 and 344.58 is: 516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.94 : 1,210.38 = 344.58 : x
  2. Step 2: Convert to fraction form
    806.94/1,210.38 = 344.58/x
  3. Step 3: Cross multiply
    806.94x = 1,210.38 × 344.58
  4. Step 4: Simplify right side
    806.94x = 417,072.74
  5. Step 5: Solve for x
    x = 417,072.74/806.94
  6. Step 6: Final answer
    x = 516.86

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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.