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Finding the Fourth Proportional to 769, 1,152.81 and 281.95

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Solution

The fourth proportional to 769, 1,152.81 and 281.95 is: 422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    769 : 1,152.81 = 281.95 : x
  2. Step 2: Convert to fraction form
    769/1,152.81 = 281.95/x
  3. Step 3: Cross multiply
    769x = 1,152.81 × 281.95
  4. Step 4: Simplify right side
    769x = 325,034.78
  5. Step 5: Solve for x
    x = 325,034.78/769
  6. Step 6: Final answer
    x = 422.67

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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.