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Finding the Fourth Proportional to 684.73, 1,027.44 and 274.16

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Solution

The fourth proportional to 684.73, 1,027.44 and 274.16 is: 411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.73 : 1,027.44 = 274.16 : x
  2. Step 2: Convert to fraction form
    684.73/1,027.44 = 274.16/x
  3. Step 3: Cross multiply
    684.73x = 1,027.44 × 274.16
  4. Step 4: Simplify right side
    684.73x = 281,682.95
  5. Step 5: Solve for x
    x = 281,682.95/684.73
  6. Step 6: Final answer
    x = 411.38

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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.