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Finding the Fourth Proportional to 1,579.14, 2,369 and 539.44

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Solution

The fourth proportional to 1,579.14, 2,369 and 539.44 is: 809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.14 : 2,369 = 539.44 : x
  2. Step 2: Convert to fraction form
    1,579.14/2,369 = 539.44/x
  3. Step 3: Cross multiply
    1,579.14x = 2,369 × 539.44
  4. Step 4: Simplify right side
    1,579.14x = 1,277,933.36
  5. Step 5: Solve for x
    x = 1,277,933.36/1,579.14
  6. Step 6: Final answer
    x = 809.26

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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.