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Finding the Fourth Proportional to 1,647.43, 2,471.31 and 414.85

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Solution

The fourth proportional to 1,647.43, 2,471.31 and 414.85 is: 622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.43 : 2,471.31 = 414.85 : x
  2. Step 2: Convert to fraction form
    1,647.43/2,471.31 = 414.85/x
  3. Step 3: Cross multiply
    1,647.43x = 2,471.31 × 414.85
  4. Step 4: Simplify right side
    1,647.43x = 1,025,214.46
  5. Step 5: Solve for x
    x = 1,025,214.46/1,647.43
  6. Step 6: Final answer
    x = 622.31

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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.