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Finding the Fourth Proportional to 1,513.97, 2,270.99 and 418.33

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Solution

The fourth proportional to 1,513.97, 2,270.99 and 418.33 is: 627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.97 : 2,270.99 = 418.33 : x
  2. Step 2: Convert to fraction form
    1,513.97/2,270.99 = 418.33/x
  3. Step 3: Cross multiply
    1,513.97x = 2,270.99 × 418.33
  4. Step 4: Simplify right side
    1,513.97x = 950,018.62
  5. Step 5: Solve for x
    x = 950,018.62/1,513.97
  6. Step 6: Final answer
    x = 627.50

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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.