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Finding the Fourth Proportional to 1,266.82, 1,900.78 and 445.68

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Solution

The fourth proportional to 1,266.82, 1,900.78 and 445.68 is: 668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.82 : 1,900.78 = 445.68 : x
  2. Step 2: Convert to fraction form
    1,266.82/1,900.78 = 445.68/x
  3. Step 3: Cross multiply
    1,266.82x = 1,900.78 × 445.68
  4. Step 4: Simplify right side
    1,266.82x = 847,138.52
  5. Step 5: Solve for x
    x = 847,138.52/1,266.82
  6. Step 6: Final answer
    x = 668.71

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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.