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Finding the Fourth Proportional to 872.98, 1,309.20 and 386.44

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Solution

The fourth proportional to 872.98, 1,309.20 and 386.44 is: 579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.98 : 1,309.20 = 386.44 : x
  2. Step 2: Convert to fraction form
    872.98/1,309.20 = 386.44/x
  3. Step 3: Cross multiply
    872.98x = 1,309.20 × 386.44
  4. Step 4: Simplify right side
    872.98x = 505,927.25
  5. Step 5: Solve for x
    x = 505,927.25/872.98
  6. Step 6: Final answer
    x = 579.54

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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.