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Finding the Fourth Proportional to 1,190.44, 1,784.62 and 573.99

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Solution

The fourth proportional to 1,190.44, 1,784.62 and 573.99 is: 860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.44 : 1,784.62 = 573.99 : x
  2. Step 2: Convert to fraction form
    1,190.44/1,784.62 = 573.99/x
  3. Step 3: Cross multiply
    1,190.44x = 1,784.62 × 573.99
  4. Step 4: Simplify right side
    1,190.44x = 1,024,354.03
  5. Step 5: Solve for x
    x = 1,024,354.03/1,190.44
  6. Step 6: Final answer
    x = 860.48

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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.