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Finding the Fourth Proportional to 1,635.42, 2,450.94 and 767.90

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Solution

The fourth proportional to 1,635.42, 2,450.94 and 767.90 is: 1,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.42 : 2,450.94 = 767.90 : x
  2. Step 2: Convert to fraction form
    1,635.42/2,450.94 = 767.90/x
  3. Step 3: Cross multiply
    1,635.42x = 2,450.94 × 767.90
  4. Step 4: Simplify right side
    1,635.42x = 1,882,076.83
  5. Step 5: Solve for x
    x = 1,882,076.83/1,635.42
  6. Step 6: Final answer
    x = 1,150.82

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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.