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Finding the Fourth Proportional to 705.49, 1,058.23 and 185.44

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Solution

The fourth proportional to 705.49, 1,058.23 and 185.44 is: 278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.49 : 1,058.23 = 185.44 : x
  2. Step 2: Convert to fraction form
    705.49/1,058.23 = 185.44/x
  3. Step 3: Cross multiply
    705.49x = 1,058.23 × 185.44
  4. Step 4: Simplify right side
    705.49x = 196,238.17
  5. Step 5: Solve for x
    x = 196,238.17/705.49
  6. Step 6: Final answer
    x = 278.16

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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.