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Finding the Fourth Proportional to 705.94, 1,058.92 and 192.94

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Solution

The fourth proportional to 705.94, 1,058.92 and 192.94 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.94 : 1,058.92 = 192.94 : x
  2. Step 2: Convert to fraction form
    705.94/1,058.92 = 192.94/x
  3. Step 3: Cross multiply
    705.94x = 1,058.92 × 192.94
  4. Step 4: Simplify right side
    705.94x = 204,304.90
  5. Step 5: Solve for x
    x = 204,304.90/705.94
  6. Step 6: Final answer
    x = 289.41

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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.