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Finding the Fourth Proportional to 682.73, 1,024.16 and 189.14

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Solution

The fourth proportional to 682.73, 1,024.16 and 189.14 is: 283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.73 : 1,024.16 = 189.14 : x
  2. Step 2: Convert to fraction form
    682.73/1,024.16 = 189.14/x
  3. Step 3: Cross multiply
    682.73x = 1,024.16 × 189.14
  4. Step 4: Simplify right side
    682.73x = 193,705.42
  5. Step 5: Solve for x
    x = 193,705.42/682.73
  6. Step 6: Final answer
    x = 283.72

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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.