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Finding the Fourth Proportional to 1,620.67, 2,431.02 and 466.42

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Solution

The fourth proportional to 1,620.67, 2,431.02 and 466.42 is: 699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.67 : 2,431.02 = 466.42 : x
  2. Step 2: Convert to fraction form
    1,620.67/2,431.02 = 466.42/x
  3. Step 3: Cross multiply
    1,620.67x = 2,431.02 × 466.42
  4. Step 4: Simplify right side
    1,620.67x = 1,133,876.35
  5. Step 5: Solve for x
    x = 1,133,876.35/1,620.67
  6. Step 6: Final answer
    x = 699.63

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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.