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Finding the Fourth Proportional to 769.87, 1,154.67 and 301.15

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Solution

The fourth proportional to 769.87, 1,154.67 and 301.15 is: 451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.87 : 1,154.67 = 301.15 : x
  2. Step 2: Convert to fraction form
    769.87/1,154.67 = 301.15/x
  3. Step 3: Cross multiply
    769.87x = 1,154.67 × 301.15
  4. Step 4: Simplify right side
    769.87x = 347,728.87
  5. Step 5: Solve for x
    x = 347,728.87/769.87
  6. Step 6: Final answer
    x = 451.67

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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.