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Finding the Fourth Proportional to 1,292.97, 1,939.42 and 319.03

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Solution

The fourth proportional to 1,292.97, 1,939.42 and 319.03 is: 478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.97 : 1,939.42 = 319.03 : x
  2. Step 2: Convert to fraction form
    1,292.97/1,939.42 = 319.03/x
  3. Step 3: Cross multiply
    1,292.97x = 1,939.42 × 319.03
  4. Step 4: Simplify right side
    1,292.97x = 618,733.16
  5. Step 5: Solve for x
    x = 618,733.16/1,292.97
  6. Step 6: Final answer
    x = 478.54

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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.