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Finding the Fourth Proportional to 1,245.55, 1,868.43 and 321.10

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Solution

The fourth proportional to 1,245.55, 1,868.43 and 321.10 is: 481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.55 : 1,868.43 = 321.10 : x
  2. Step 2: Convert to fraction form
    1,245.55/1,868.43 = 321.10/x
  3. Step 3: Cross multiply
    1,245.55x = 1,868.43 × 321.10
  4. Step 4: Simplify right side
    1,245.55x = 599,948.05
  5. Step 5: Solve for x
    x = 599,948.05/1,245.55
  6. Step 6: Final answer
    x = 481.67

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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.