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Finding the Fourth Proportional to 676.94, 1,014.75 and 265.97

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Solution

The fourth proportional to 676.94, 1,014.75 and 265.97 is: 398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.94 : 1,014.75 = 265.97 : x
  2. Step 2: Convert to fraction form
    676.94/1,014.75 = 265.97/x
  3. Step 3: Cross multiply
    676.94x = 1,014.75 × 265.97
  4. Step 4: Simplify right side
    676.94x = 269,887.98
  5. Step 5: Solve for x
    x = 269,887.98/676.94
  6. Step 6: Final answer
    x = 398.69

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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.