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Finding the Fourth Proportional to 858.20, 1,185.23 and 579.69

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Solution

The fourth proportional to 858.20, 1,185.23 and 579.69 is: 800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.20 : 1,185.23 = 579.69 : x
  2. Step 2: Convert to fraction form
    858.20/1,185.23 = 579.69/x
  3. Step 3: Cross multiply
    858.20x = 1,185.23 × 579.69
  4. Step 4: Simplify right side
    858.20x = 687,067.43
  5. Step 5: Solve for x
    x = 687,067.43/858.20
  6. Step 6: Final answer
    x = 800.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.