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Finding the Fourth Proportional to 1,620.50, 2,431.14 and 466.24

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Solution

The fourth proportional to 1,620.50, 2,431.14 and 466.24 is: 699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.50 : 2,431.14 = 466.24 : x
  2. Step 2: Convert to fraction form
    1,620.50/2,431.14 = 466.24/x
  3. Step 3: Cross multiply
    1,620.50x = 2,431.14 × 466.24
  4. Step 4: Simplify right side
    1,620.50x = 1,133,494.71
  5. Step 5: Solve for x
    x = 1,133,494.71/1,620.50
  6. Step 6: Final answer
    x = 699.47

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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.