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Finding the Fourth Proportional to 1,615.31, 2,422.97 and 519.79

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Solution

The fourth proportional to 1,615.31, 2,422.97 and 519.79 is: 779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.31 : 2,422.97 = 519.79 : x
  2. Step 2: Convert to fraction form
    1,615.31/2,422.97 = 519.79/x
  3. Step 3: Cross multiply
    1,615.31x = 2,422.97 × 519.79
  4. Step 4: Simplify right side
    1,615.31x = 1,259,428.87
  5. Step 5: Solve for x
    x = 1,259,428.87/1,615.31
  6. Step 6: Final answer
    x = 779.68

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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.