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Finding the Fourth Proportional to 1,292.69, 1,939.83 and 512.56

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Solution

The fourth proportional to 1,292.69, 1,939.83 and 512.56 is: 769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.69 : 1,939.83 = 512.56 : x
  2. Step 2: Convert to fraction form
    1,292.69/1,939.83 = 512.56/x
  3. Step 3: Cross multiply
    1,292.69x = 1,939.83 × 512.56
  4. Step 4: Simplify right side
    1,292.69x = 994,279.26
  5. Step 5: Solve for x
    x = 994,279.26/1,292.69
  6. Step 6: Final answer
    x = 769.16

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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.