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Finding the Fourth Proportional to 1,633.98, 2,450.97 and 479.73

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Solution

The fourth proportional to 1,633.98, 2,450.97 and 479.73 is: 719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.98 : 2,450.97 = 479.73 : x
  2. Step 2: Convert to fraction form
    1,633.98/2,450.97 = 479.73/x
  3. Step 3: Cross multiply
    1,633.98x = 2,450.97 × 479.73
  4. Step 4: Simplify right side
    1,633.98x = 1,175,803.84
  5. Step 5: Solve for x
    x = 1,175,803.84/1,633.98
  6. Step 6: Final answer
    x = 719.60

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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.