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Finding the Fourth Proportional to 1,292.94, 1,940.21 and 512.81

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Solution

The fourth proportional to 1,292.94, 1,940.21 and 512.81 is: 769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.94 : 1,940.21 = 512.81 : x
  2. Step 2: Convert to fraction form
    1,292.94/1,940.21 = 512.81/x
  3. Step 3: Cross multiply
    1,292.94x = 1,940.21 × 512.81
  4. Step 4: Simplify right side
    1,292.94x = 994,959.09
  5. Step 5: Solve for x
    x = 994,959.09/1,292.94
  6. Step 6: Final answer
    x = 769.53

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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.