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Finding the Fourth Proportional to 676.60, 1,014.86 and 189.64

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Solution

The fourth proportional to 676.60, 1,014.86 and 189.64 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.60 : 1,014.86 = 189.64 : x
  2. Step 2: Convert to fraction form
    676.60/1,014.86 = 189.64/x
  3. Step 3: Cross multiply
    676.60x = 1,014.86 × 189.64
  4. Step 4: Simplify right side
    676.60x = 192,458.05
  5. Step 5: Solve for x
    x = 192,458.05/676.60
  6. Step 6: Final answer
    x = 284.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.