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Finding the Fourth Proportional to 1,513.89, 2,270.84 and 418.31

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Solution

The fourth proportional to 1,513.89, 2,270.84 and 418.31 is: 627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.89 : 2,270.84 = 418.31 : x
  2. Step 2: Convert to fraction form
    1,513.89/2,270.84 = 418.31/x
  3. Step 3: Cross multiply
    1,513.89x = 2,270.84 × 418.31
  4. Step 4: Simplify right side
    1,513.89x = 949,915.08
  5. Step 5: Solve for x
    x = 949,915.08/1,513.89
  6. Step 6: Final answer
    x = 627.47

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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.