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Finding the Fourth Proportional to 684.11, 1,026.26 and 251.16

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Solution

The fourth proportional to 684.11, 1,026.26 and 251.16 is: 376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.11 : 1,026.26 = 251.16 : x
  2. Step 2: Convert to fraction form
    684.11/1,026.26 = 251.16/x
  3. Step 3: Cross multiply
    684.11x = 1,026.26 × 251.16
  4. Step 4: Simplify right side
    684.11x = 257,754.21
  5. Step 5: Solve for x
    x = 257,754.21/684.11
  6. Step 6: Final answer
    x = 376.78

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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.