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Finding the Fourth Proportional to 677.38, 1,016.12 and 190.44

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Solution

The fourth proportional to 677.38, 1,016.12 and 190.44 is: 285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.38 : 1,016.12 = 190.44 : x
  2. Step 2: Convert to fraction form
    677.38/1,016.12 = 190.44/x
  3. Step 3: Cross multiply
    677.38x = 1,016.12 × 190.44
  4. Step 4: Simplify right side
    677.38x = 193,509.89
  5. Step 5: Solve for x
    x = 193,509.89/677.38
  6. Step 6: Final answer
    x = 285.67

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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.