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Finding the Fourth Proportional to 979.31, 1,467.95 and 492.09

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Solution

The fourth proportional to 979.31, 1,467.95 and 492.09 is: 737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.31 : 1,467.95 = 492.09 : x
  2. Step 2: Convert to fraction form
    979.31/1,467.95 = 492.09/x
  3. Step 3: Cross multiply
    979.31x = 1,467.95 × 492.09
  4. Step 4: Simplify right side
    979.31x = 722,361.06
  5. Step 5: Solve for x
    x = 722,361.06/979.31
  6. Step 6: Final answer
    x = 737.63

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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.