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Finding the Fourth Proportional to 1,003.20, 1,504.80 and 418.10

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Solution

The fourth proportional to 1,003.20, 1,504.80 and 418.10 is: 627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.20 : 1,504.80 = 418.10 : x
  2. Step 2: Convert to fraction form
    1,003.20/1,504.80 = 418.10/x
  3. Step 3: Cross multiply
    1,003.20x = 1,504.80 × 418.10
  4. Step 4: Simplify right side
    1,003.20x = 629,149.36
  5. Step 5: Solve for x
    x = 629,149.36/1,003.20
  6. Step 6: Final answer
    x = 627.14

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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.