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Finding the Fourth Proportional to 807.82, 1,210.81 and 344.92

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Solution

The fourth proportional to 807.82, 1,210.81 and 344.92 is: 516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.82 : 1,210.81 = 344.92 : x
  2. Step 2: Convert to fraction form
    807.82/1,210.81 = 344.92/x
  3. Step 3: Cross multiply
    807.82x = 1,210.81 × 344.92
  4. Step 4: Simplify right side
    807.82x = 417,632.59
  5. Step 5: Solve for x
    x = 417,632.59/807.82
  6. Step 6: Final answer
    x = 516.99

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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.