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Finding the Fourth Proportional to 1,265.82, 1,898.36 and 443.94

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Solution

The fourth proportional to 1,265.82, 1,898.36 and 443.94 is: 665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.82 : 1,898.36 = 443.94 : x
  2. Step 2: Convert to fraction form
    1,265.82/1,898.36 = 443.94/x
  3. Step 3: Cross multiply
    1,265.82x = 1,898.36 × 443.94
  4. Step 4: Simplify right side
    1,265.82x = 842,757.94
  5. Step 5: Solve for x
    x = 842,757.94/1,265.82
  6. Step 6: Final answer
    x = 665.78

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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.