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Finding the Fourth Proportional to 769.57, 1,154.35 and 192.45

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Solution

The fourth proportional to 769.57, 1,154.35 and 192.45 is: 288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.57 : 1,154.35 = 192.45 : x
  2. Step 2: Convert to fraction form
    769.57/1,154.35 = 192.45/x
  3. Step 3: Cross multiply
    769.57x = 1,154.35 × 192.45
  4. Step 4: Simplify right side
    769.57x = 222,148.40
  5. Step 5: Solve for x
    x = 222,148.40/769.57
  6. Step 6: Final answer
    x = 288.67

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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.