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Finding the Fourth Proportional to 1,293.85, 1,939.81 and 513.22

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Solution

The fourth proportional to 1,293.85, 1,939.81 and 513.22 is: 769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.85 : 1,939.81 = 513.22 : x
  2. Step 2: Convert to fraction form
    1,293.85/1,939.81 = 513.22/x
  3. Step 3: Cross multiply
    1,293.85x = 1,939.81 × 513.22
  4. Step 4: Simplify right side
    1,293.85x = 995,537.02
  5. Step 5: Solve for x
    x = 995,537.02/1,293.85
  6. Step 6: Final answer
    x = 769.44

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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.