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Finding the Fourth Proportional to 1,231.17, 1,846.64 and 461.73

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Solution

The fourth proportional to 1,231.17, 1,846.64 and 461.73 is: 692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.17 : 1,846.64 = 461.73 : x
  2. Step 2: Convert to fraction form
    1,231.17/1,846.64 = 461.73/x
  3. Step 3: Cross multiply
    1,231.17x = 1,846.64 × 461.73
  4. Step 4: Simplify right side
    1,231.17x = 852,646.78
  5. Step 5: Solve for x
    x = 852,646.78/1,231.17
  6. Step 6: Final answer
    x = 692.55

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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.