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Finding the Fourth Proportional to 676.85, 1,015.13 and 189.77

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Solution

The fourth proportional to 676.85, 1,015.13 and 189.77 is: 284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.85 : 1,015.13 = 189.77 : x
  2. Step 2: Convert to fraction form
    676.85/1,015.13 = 189.77/x
  3. Step 3: Cross multiply
    676.85x = 1,015.13 × 189.77
  4. Step 4: Simplify right side
    676.85x = 192,635.20
  5. Step 5: Solve for x
    x = 192,635.20/676.85
  6. Step 6: Final answer
    x = 284.61

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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.