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Finding the Fourth Proportional to 1,199.42, 1,796.85 and 582.26

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Solution

The fourth proportional to 1,199.42, 1,796.85 and 582.26 is: 872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.42 : 1,796.85 = 582.26 : x
  2. Step 2: Convert to fraction form
    1,199.42/1,796.85 = 582.26/x
  3. Step 3: Cross multiply
    1,199.42x = 1,796.85 × 582.26
  4. Step 4: Simplify right side
    1,199.42x = 1,046,233.88
  5. Step 5: Solve for x
    x = 1,046,233.88/1,199.42
  6. Step 6: Final answer
    x = 872.28

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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.