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Finding the Fourth Proportional to 1,294.82, 1,942.42 and 515.26

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Solution

The fourth proportional to 1,294.82, 1,942.42 and 515.26 is: 772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.82 : 1,942.42 = 515.26 : x
  2. Step 2: Convert to fraction form
    1,294.82/1,942.42 = 515.26/x
  3. Step 3: Cross multiply
    1,294.82x = 1,942.42 × 515.26
  4. Step 4: Simplify right side
    1,294.82x = 1,000,851.33
  5. Step 5: Solve for x
    x = 1,000,851.33/1,294.82
  6. Step 6: Final answer
    x = 772.97

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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.