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Finding the Fourth Proportional to 1,540.75, 2,311.13 and 675.06

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Solution

The fourth proportional to 1,540.75, 2,311.13 and 675.06 is: 1,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.75 : 2,311.13 = 675.06 : x
  2. Step 2: Convert to fraction form
    1,540.75/2,311.13 = 675.06/x
  3. Step 3: Cross multiply
    1,540.75x = 2,311.13 × 675.06
  4. Step 4: Simplify right side
    1,540.75x = 1,560,151.42
  5. Step 5: Solve for x
    x = 1,560,151.42/1,540.75
  6. Step 6: Final answer
    x = 1,012.59

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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.