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Finding the Fourth Proportional to 1,314.37, 1,968.34 and 850.76

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Solution

The fourth proportional to 1,314.37, 1,968.34 and 850.76 is: 1,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.37 : 1,968.34 = 850.76 : x
  2. Step 2: Convert to fraction form
    1,314.37/1,968.34 = 850.76/x
  3. Step 3: Cross multiply
    1,314.37x = 1,968.34 × 850.76
  4. Step 4: Simplify right side
    1,314.37x = 1,674,584.94
  5. Step 5: Solve for x
    x = 1,674,584.94/1,314.37
  6. Step 6: Final answer
    x = 1,274.06

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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.