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Finding the Fourth Proportional to 705.99, 1,058.97 and 192.99

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Solution

The fourth proportional to 705.99, 1,058.97 and 192.99 is: 289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.99 : 1,058.97 = 192.99 : x
  2. Step 2: Convert to fraction form
    705.99/1,058.97 = 192.99/x
  3. Step 3: Cross multiply
    705.99x = 1,058.97 × 192.99
  4. Step 4: Simplify right side
    705.99x = 204,371.34
  5. Step 5: Solve for x
    x = 204,371.34/705.99
  6. Step 6: Final answer
    x = 289.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.