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Finding the Fourth Proportional to 1,292.14, 1,938.51 and 512.41

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Solution

The fourth proportional to 1,292.14, 1,938.51 and 512.41 is: 768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.14 : 1,938.51 = 512.41 : x
  2. Step 2: Convert to fraction form
    1,292.14/1,938.51 = 512.41/x
  3. Step 3: Cross multiply
    1,292.14x = 1,938.51 × 512.41
  4. Step 4: Simplify right side
    1,292.14x = 993,311.91
  5. Step 5: Solve for x
    x = 993,311.91/1,292.14
  6. Step 6: Final answer
    x = 768.73

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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.