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Finding the Fourth Proportional to 682.06, 1,022.96 and 195

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Solution

The fourth proportional to 682.06, 1,022.96 and 195 is: 292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.06 : 1,022.96 = 195 : x
  2. Step 2: Convert to fraction form
    682.06/1,022.96 = 195/x
  3. Step 3: Cross multiply
    682.06x = 1,022.96 × 195
  4. Step 4: Simplify right side
    682.06x = 199,477.20
  5. Step 5: Solve for x
    x = 199,477.20/682.06
  6. Step 6: Final answer
    x = 292.46

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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.