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Finding the Fourth Proportional to 831, 1,146.78 and 463

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Solution

The fourth proportional to 831, 1,146.78 and 463 is: 638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    831 : 1,146.78 = 463 : x
  2. Step 2: Convert to fraction form
    831/1,146.78 = 463/x
  3. Step 3: Cross multiply
    831x = 1,146.78 × 463
  4. Step 4: Simplify right side
    831x = 530,959.14
  5. Step 5: Solve for x
    x = 530,959.14/831
  6. Step 6: Final answer
    x = 638.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.