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Finding the Fourth Proportional to 866.99, 1,291.98 and 843.23

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Solution

The fourth proportional to 866.99, 1,291.98 and 843.23 is: 1,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.99 : 1,291.98 = 843.23 : x
  2. Step 2: Convert to fraction form
    866.99/1,291.98 = 843.23/x
  3. Step 3: Cross multiply
    866.99x = 1,291.98 × 843.23
  4. Step 4: Simplify right side
    866.99x = 1,089,429.84
  5. Step 5: Solve for x
    x = 1,089,429.84/866.99
  6. Step 6: Final answer
    x = 1,256.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.