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Finding the Fourth Proportional to 1,069.22, 1,603.74 and 419.78

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Solution

The fourth proportional to 1,069.22, 1,603.74 and 419.78 is: 629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.22 : 1,603.74 = 419.78 : x
  2. Step 2: Convert to fraction form
    1,069.22/1,603.74 = 419.78/x
  3. Step 3: Cross multiply
    1,069.22x = 1,603.74 × 419.78
  4. Step 4: Simplify right side
    1,069.22x = 673,217.98
  5. Step 5: Solve for x
    x = 673,217.98/1,069.22
  6. Step 6: Final answer
    x = 629.63

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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.