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Finding the Fourth Proportional to 1,294.79, 1,942.11 and 320.90

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Solution

The fourth proportional to 1,294.79, 1,942.11 and 320.90 is: 481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.79 : 1,942.11 = 320.90 : x
  2. Step 2: Convert to fraction form
    1,294.79/1,942.11 = 320.90/x
  3. Step 3: Cross multiply
    1,294.79x = 1,942.11 × 320.90
  4. Step 4: Simplify right side
    1,294.79x = 623,213.39
  5. Step 5: Solve for x
    x = 623,213.39/1,294.79
  6. Step 6: Final answer
    x = 481.33

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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.