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Finding the Fourth Proportional to 1,738.27, 2,607.41 and 764.30

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Solution

The fourth proportional to 1,738.27, 2,607.41 and 764.30 is: 1,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.27 : 2,607.41 = 764.30 : x
  2. Step 2: Convert to fraction form
    1,738.27/2,607.41 = 764.30/x
  3. Step 3: Cross multiply
    1,738.27x = 2,607.41 × 764.30
  4. Step 4: Simplify right side
    1,738.27x = 1,992,851.89
  5. Step 5: Solve for x
    x = 1,992,851.89/1,738.27
  6. Step 6: Final answer
    x = 1,146.46

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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.