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Finding the Fourth Proportional to 1,292.83, 1,939.29 and 512.98

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Solution

The fourth proportional to 1,292.83, 1,939.29 and 512.98 is: 769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.83 : 1,939.29 = 512.98 : x
  2. Step 2: Convert to fraction form
    1,292.83/1,939.29 = 512.98/x
  3. Step 3: Cross multiply
    1,292.83x = 1,939.29 × 512.98
  4. Step 4: Simplify right side
    1,292.83x = 994,816.98
  5. Step 5: Solve for x
    x = 994,816.98/1,292.83
  6. Step 6: Final answer
    x = 769.49

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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.