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Finding the Fourth Proportional to 1,266.73, 1,899.52 and 573.37

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Solution

The fourth proportional to 1,266.73, 1,899.52 and 573.37 is: 859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.73 : 1,899.52 = 573.37 : x
  2. Step 2: Convert to fraction form
    1,266.73/1,899.52 = 573.37/x
  3. Step 3: Cross multiply
    1,266.73x = 1,899.52 × 573.37
  4. Step 4: Simplify right side
    1,266.73x = 1,089,127.78
  5. Step 5: Solve for x
    x = 1,089,127.78/1,266.73
  6. Step 6: Final answer
    x = 859.79

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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.