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Finding the Fourth Proportional to 1,453.55, 2,180.66 and 480.33

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Solution

The fourth proportional to 1,453.55, 2,180.66 and 480.33 is: 720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.55 : 2,180.66 = 480.33 : x
  2. Step 2: Convert to fraction form
    1,453.55/2,180.66 = 480.33/x
  3. Step 3: Cross multiply
    1,453.55x = 2,180.66 × 480.33
  4. Step 4: Simplify right side
    1,453.55x = 1,047,434.02
  5. Step 5: Solve for x
    x = 1,047,434.02/1,453.55
  6. Step 6: Final answer
    x = 720.61

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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.