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Finding the Fourth Proportional to 1,453.80, 2,180.84 and 480

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Solution

The fourth proportional to 1,453.80, 2,180.84 and 480 is: 720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.80 : 2,180.84 = 480 : x
  2. Step 2: Convert to fraction form
    1,453.80/2,180.84 = 480/x
  3. Step 3: Cross multiply
    1,453.80x = 2,180.84 × 480
  4. Step 4: Simplify right side
    1,453.80x = 1,046,803.20
  5. Step 5: Solve for x
    x = 1,046,803.20/1,453.80
  6. Step 6: Final answer
    x = 720.05

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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.