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Finding the Fourth Proportional to 1,265.97, 1,899.81 and 444.26

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Solution

The fourth proportional to 1,265.97, 1,899.81 and 444.26 is: 666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.97 : 1,899.81 = 444.26 : x
  2. Step 2: Convert to fraction form
    1,265.97/1,899.81 = 444.26/x
  3. Step 3: Cross multiply
    1,265.97x = 1,899.81 × 444.26
  4. Step 4: Simplify right side
    1,265.97x = 844,000.09
  5. Step 5: Solve for x
    x = 844,000.09/1,265.97
  6. Step 6: Final answer
    x = 666.68

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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.