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Finding the Fourth Proportional to 854.92, 1,179.37 and 606.37

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Solution

The fourth proportional to 854.92, 1,179.37 and 606.37 is: 836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.92 : 1,179.37 = 606.37 : x
  2. Step 2: Convert to fraction form
    854.92/1,179.37 = 606.37/x
  3. Step 3: Cross multiply
    854.92x = 1,179.37 × 606.37
  4. Step 4: Simplify right side
    854.92x = 715,134.59
  5. Step 5: Solve for x
    x = 715,134.59/854.92
  6. Step 6: Final answer
    x = 836.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.