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Finding the Fourth Proportional to 794.08, 1,189.09 and 573.78

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Solution

The fourth proportional to 794.08, 1,189.09 and 573.78 is: 859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.08 : 1,189.09 = 573.78 : x
  2. Step 2: Convert to fraction form
    794.08/1,189.09 = 573.78/x
  3. Step 3: Cross multiply
    794.08x = 1,189.09 × 573.78
  4. Step 4: Simplify right side
    794.08x = 682,276.06
  5. Step 5: Solve for x
    x = 682,276.06/794.08
  6. Step 6: Final answer
    x = 859.20

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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.