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Finding the Fourth Proportional to 1,463.31, 2,192.06 and 768.93

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Solution

The fourth proportional to 1,463.31, 2,192.06 and 768.93 is: 1,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.31 : 2,192.06 = 768.93 : x
  2. Step 2: Convert to fraction form
    1,463.31/2,192.06 = 768.93/x
  3. Step 3: Cross multiply
    1,463.31x = 2,192.06 × 768.93
  4. Step 4: Simplify right side
    1,463.31x = 1,685,540.70
  5. Step 5: Solve for x
    x = 1,685,540.70/1,463.31
  6. Step 6: Final answer
    x = 1,151.87

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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.