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Finding the Fourth Proportional to 1,264.43, 1,896.59 and 442.74

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Solution

The fourth proportional to 1,264.43, 1,896.59 and 442.74 is: 664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.43 : 1,896.59 = 442.74 : x
  2. Step 2: Convert to fraction form
    1,264.43/1,896.59 = 442.74/x
  3. Step 3: Cross multiply
    1,264.43x = 1,896.59 × 442.74
  4. Step 4: Simplify right side
    1,264.43x = 839,694.04
  5. Step 5: Solve for x
    x = 839,694.04/1,264.43
  6. Step 6: Final answer
    x = 664.09

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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.