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Finding the Fourth Proportional to 1,513.88, 2,270.82 and 418.25

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Solution

The fourth proportional to 1,513.88, 2,270.82 and 418.25 is: 627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.88 : 2,270.82 = 418.25 : x
  2. Step 2: Convert to fraction form
    1,513.88/2,270.82 = 418.25/x
  3. Step 3: Cross multiply
    1,513.88x = 2,270.82 × 418.25
  4. Step 4: Simplify right side
    1,513.88x = 949,759.11
  5. Step 5: Solve for x
    x = 949,759.11/1,513.88
  6. Step 6: Final answer
    x = 627.37

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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.