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Finding the Fourth Proportional to 1,208.77, 1,812.98 and 343.15

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Solution

The fourth proportional to 1,208.77, 1,812.98 and 343.15 is: 514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.77 : 1,812.98 = 343.15 : x
  2. Step 2: Convert to fraction form
    1,208.77/1,812.98 = 343.15/x
  3. Step 3: Cross multiply
    1,208.77x = 1,812.98 × 343.15
  4. Step 4: Simplify right side
    1,208.77x = 622,124.09
  5. Step 5: Solve for x
    x = 622,124.09/1,208.77
  6. Step 6: Final answer
    x = 514.68

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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.