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Finding the Fourth Proportional to 1,633.62, 2,450.34 and 463.56

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Solution

The fourth proportional to 1,633.62, 2,450.34 and 463.56 is: 695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.62 : 2,450.34 = 463.56 : x
  2. Step 2: Convert to fraction form
    1,633.62/2,450.34 = 463.56/x
  3. Step 3: Cross multiply
    1,633.62x = 2,450.34 × 463.56
  4. Step 4: Simplify right side
    1,633.62x = 1,135,879.61
  5. Step 5: Solve for x
    x = 1,135,879.61/1,633.62
  6. Step 6: Final answer
    x = 695.31

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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.