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Finding the Fourth Proportional to 3,072.94, 4,609.51 and 764.44

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Solution

The fourth proportional to 3,072.94, 4,609.51 and 764.44 is: 1,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.94 : 4,609.51 = 764.44 : x
  2. Step 2: Convert to fraction form
    3,072.94/4,609.51 = 764.44/x
  3. Step 3: Cross multiply
    3,072.94x = 4,609.51 × 764.44
  4. Step 4: Simplify right side
    3,072.94x = 3,523,680.39
  5. Step 5: Solve for x
    x = 3,523,680.39/3,072.94
  6. Step 6: Final answer
    x = 1,146.68

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1.5x scale

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.