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Finding the Fourth Proportional to 1,243.44, 1,865.08 and 319.04

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Solution

The fourth proportional to 1,243.44, 1,865.08 and 319.04 is: 478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.44 : 1,865.08 = 319.04 : x
  2. Step 2: Convert to fraction form
    1,243.44/1,865.08 = 319.04/x
  3. Step 3: Cross multiply
    1,243.44x = 1,865.08 × 319.04
  4. Step 4: Simplify right side
    1,243.44x = 595,035.12
  5. Step 5: Solve for x
    x = 595,035.12/1,243.44
  6. Step 6: Final answer
    x = 478.54

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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.