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Finding the Fourth Proportional to 1,294.27, 1,941.41 and 513.92

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Solution

The fourth proportional to 1,294.27, 1,941.41 and 513.92 is: 770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.27 : 1,941.41 = 513.92 : x
  2. Step 2: Convert to fraction form
    1,294.27/1,941.41 = 513.92/x
  3. Step 3: Cross multiply
    1,294.27x = 1,941.41 × 513.92
  4. Step 4: Simplify right side
    1,294.27x = 997,735.57
  5. Step 5: Solve for x
    x = 997,735.57/1,294.27
  6. Step 6: Final answer
    x = 770.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.