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Finding the Fourth Proportional to 676.83, 1,015.36 and 265.75

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Solution

The fourth proportional to 676.83, 1,015.36 and 265.75 is: 398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.83 : 1,015.36 = 265.75 : x
  2. Step 2: Convert to fraction form
    676.83/1,015.36 = 265.75/x
  3. Step 3: Cross multiply
    676.83x = 1,015.36 × 265.75
  4. Step 4: Simplify right side
    676.83x = 269,828.72
  5. Step 5: Solve for x
    x = 269,828.72/676.83
  6. Step 6: Final answer
    x = 398.67

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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.