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Finding the Fourth Proportional to 1,454.53, 2,181.49 and 480.41

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Solution

The fourth proportional to 1,454.53, 2,181.49 and 480.41 is: 720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.53 : 2,181.49 = 480.41 : x
  2. Step 2: Convert to fraction form
    1,454.53/2,181.49 = 480.41/x
  3. Step 3: Cross multiply
    1,454.53x = 2,181.49 × 480.41
  4. Step 4: Simplify right side
    1,454.53x = 1,048,009.61
  5. Step 5: Solve for x
    x = 1,048,009.61/1,454.53
  6. Step 6: Final answer
    x = 720.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.