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Finding the Fourth Proportional to 1,346.36, 2,019.20 and 480.67

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Solution

The fourth proportional to 1,346.36, 2,019.20 and 480.67 is: 720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.36 : 2,019.20 = 480.67 : x
  2. Step 2: Convert to fraction form
    1,346.36/2,019.20 = 480.67/x
  3. Step 3: Cross multiply
    1,346.36x = 2,019.20 × 480.67
  4. Step 4: Simplify right side
    1,346.36x = 970,561.41
  5. Step 5: Solve for x
    x = 970,561.41/1,346.36
  6. Step 6: Final answer
    x = 720.88

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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.