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Finding the Fourth Proportional to 684.76, 1,027.14 and 274.24

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Solution

The fourth proportional to 684.76, 1,027.14 and 274.24 is: 411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.76 : 1,027.14 = 274.24 : x
  2. Step 2: Convert to fraction form
    684.76/1,027.14 = 274.24/x
  3. Step 3: Cross multiply
    684.76x = 1,027.14 × 274.24
  4. Step 4: Simplify right side
    684.76x = 281,682.87
  5. Step 5: Solve for x
    x = 281,682.87/684.76
  6. Step 6: Final answer
    x = 411.36

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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.