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Finding the Fourth Proportional to 1,633.29, 2,450.07 and 463.30

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Solution

The fourth proportional to 1,633.29, 2,450.07 and 463.30 is: 694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.29 : 2,450.07 = 463.30 : x
  2. Step 2: Convert to fraction form
    1,633.29/2,450.07 = 463.30/x
  3. Step 3: Cross multiply
    1,633.29x = 2,450.07 × 463.30
  4. Step 4: Simplify right side
    1,633.29x = 1,135,117.43
  5. Step 5: Solve for x
    x = 1,135,117.43/1,633.29
  6. Step 6: Final answer
    x = 694.99

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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.