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Finding the Fourth Proportional to 1,292.36, 1,939.37 and 512.24

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Solution

The fourth proportional to 1,292.36, 1,939.37 and 512.24 is: 768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.36 : 1,939.37 = 512.24 : x
  2. Step 2: Convert to fraction form
    1,292.36/1,939.37 = 512.24/x
  3. Step 3: Cross multiply
    1,292.36x = 1,939.37 × 512.24
  4. Step 4: Simplify right side
    1,292.36x = 993,410.63
  5. Step 5: Solve for x
    x = 993,410.63/1,292.36
  6. Step 6: Final answer
    x = 768.68

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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.