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Finding the Fourth Proportional to 705.69, 1,058.54 and 192.69

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Solution

The fourth proportional to 705.69, 1,058.54 and 192.69 is: 289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.69 : 1,058.54 = 192.69 : x
  2. Step 2: Convert to fraction form
    705.69/1,058.54 = 192.69/x
  3. Step 3: Cross multiply
    705.69x = 1,058.54 × 192.69
  4. Step 4: Simplify right side
    705.69x = 203,969.11
  5. Step 5: Solve for x
    x = 203,969.11/705.69
  6. Step 6: Final answer
    x = 289.04

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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.