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Finding the Fourth Proportional to 677.56, 1,016.34 and 164.56

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Solution

The fourth proportional to 677.56, 1,016.34 and 164.56 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.56 : 1,016.34 = 164.56 : x
  2. Step 2: Convert to fraction form
    677.56/1,016.34 = 164.56/x
  3. Step 3: Cross multiply
    677.56x = 1,016.34 × 164.56
  4. Step 4: Simplify right side
    677.56x = 167,243.01
  5. Step 5: Solve for x
    x = 167,243.01/677.56
  6. Step 6: Final answer
    x = 246.83

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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.