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Finding the Fourth Proportional to 1,540.50, 2,310.75 and 514.50

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Solution

The fourth proportional to 1,540.50, 2,310.75 and 514.50 is: 771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.50 : 2,310.75 = 514.50 : x
  2. Step 2: Convert to fraction form
    1,540.50/2,310.75 = 514.50/x
  3. Step 3: Cross multiply
    1,540.50x = 2,310.75 × 514.50
  4. Step 4: Simplify right side
    1,540.50x = 1,188,880.88
  5. Step 5: Solve for x
    x = 1,188,880.88/1,540.50
  6. Step 6: Final answer
    x = 771.75

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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.