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Finding the Fourth Proportional to 1,323.41, 1,824.59 and 850.50

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Solution

The fourth proportional to 1,323.41, 1,824.59 and 850.50 is: 1,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.41 : 1,824.59 = 850.50 : x
  2. Step 2: Convert to fraction form
    1,323.41/1,824.59 = 850.50/x
  3. Step 3: Cross multiply
    1,323.41x = 1,824.59 × 850.50
  4. Step 4: Simplify right side
    1,323.41x = 1,551,815.92
  5. Step 5: Solve for x
    x = 1,551,815.92/1,323.41
  6. Step 6: Final answer
    x = 1,172.59

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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.