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Finding the Fourth Proportional to 1,579.09, 2,368.97 and 605.47

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Solution

The fourth proportional to 1,579.09, 2,368.97 and 605.47 is: 908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.09 : 2,368.97 = 605.47 : x
  2. Step 2: Convert to fraction form
    1,579.09/2,368.97 = 605.47/x
  3. Step 3: Cross multiply
    1,579.09x = 2,368.97 × 605.47
  4. Step 4: Simplify right side
    1,579.09x = 1,434,340.27
  5. Step 5: Solve for x
    x = 1,434,340.27/1,579.09
  6. Step 6: Final answer
    x = 908.33

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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.