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Finding the Fourth Proportional to 705.87, 1,058.67 and 192.75

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Solution

The fourth proportional to 705.87, 1,058.67 and 192.75 is: 289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.87 : 1,058.67 = 192.75 : x
  2. Step 2: Convert to fraction form
    705.87/1,058.67 = 192.75/x
  3. Step 3: Cross multiply
    705.87x = 1,058.67 × 192.75
  4. Step 4: Simplify right side
    705.87x = 204,058.64
  5. Step 5: Solve for x
    x = 204,058.64/705.87
  6. Step 6: Final answer
    x = 289.09

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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.