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Finding the Fourth Proportional to 3,073.17, 4,609.80 and 764.67

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Solution

The fourth proportional to 3,073.17, 4,609.80 and 764.67 is: 1,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.17 : 4,609.80 = 764.67 : x
  2. Step 2: Convert to fraction form
    3,073.17/4,609.80 = 764.67/x
  3. Step 3: Cross multiply
    3,073.17x = 4,609.80 × 764.67
  4. Step 4: Simplify right side
    3,073.17x = 3,524,975.77
  5. Step 5: Solve for x
    x = 3,524,975.77/3,073.17
  6. Step 6: Final answer
    x = 1,147.02

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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.