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Finding the Fourth Proportional to 755.69, 1,133.45 and 200.46

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Solution

The fourth proportional to 755.69, 1,133.45 and 200.46 is: 300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.69 : 1,133.45 = 200.46 : x
  2. Step 2: Convert to fraction form
    755.69/1,133.45 = 200.46/x
  3. Step 3: Cross multiply
    755.69x = 1,133.45 × 200.46
  4. Step 4: Simplify right side
    755.69x = 227,211.39
  5. Step 5: Solve for x
    x = 227,211.39/755.69
  6. Step 6: Final answer
    x = 300.67

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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.