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Finding the Fourth Proportional to 922.36, 1,384.46 and 769.27

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Solution

The fourth proportional to 922.36, 1,384.46 and 769.27 is: 1,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.36 : 1,384.46 = 769.27 : x
  2. Step 2: Convert to fraction form
    922.36/1,384.46 = 769.27/x
  3. Step 3: Cross multiply
    922.36x = 1,384.46 × 769.27
  4. Step 4: Simplify right side
    922.36x = 1,065,023.54
  5. Step 5: Solve for x
    x = 1,065,023.54/922.36
  6. Step 6: Final answer
    x = 1,154.67

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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.