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Finding the Fourth Proportional to 1,453.80, 2,180.55 and 480.06

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Solution

The fourth proportional to 1,453.80, 2,180.55 and 480.06 is: 720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.80 : 2,180.55 = 480.06 : x
  2. Step 2: Convert to fraction form
    1,453.80/2,180.55 = 480.06/x
  3. Step 3: Cross multiply
    1,453.80x = 2,180.55 × 480.06
  4. Step 4: Simplify right side
    1,453.80x = 1,046,794.83
  5. Step 5: Solve for x
    x = 1,046,794.83/1,453.80
  6. Step 6: Final answer
    x = 720.04

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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.