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Finding the Fourth Proportional to 1,620.95, 2,431.22 and 466.70

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Solution

The fourth proportional to 1,620.95, 2,431.22 and 466.70 is: 699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.95 : 2,431.22 = 466.70 : x
  2. Step 2: Convert to fraction form
    1,620.95/2,431.22 = 466.70/x
  3. Step 3: Cross multiply
    1,620.95x = 2,431.22 × 466.70
  4. Step 4: Simplify right side
    1,620.95x = 1,134,635.88
  5. Step 5: Solve for x
    x = 1,134,635.88/1,620.95
  6. Step 6: Final answer
    x = 699.98

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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.