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Finding the Fourth Proportional to 755.49, 1,133.23 and 207.67

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Solution

The fourth proportional to 755.49, 1,133.23 and 207.67 is: 311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.49 : 1,133.23 = 207.67 : x
  2. Step 2: Convert to fraction form
    755.49/1,133.23 = 207.67/x
  3. Step 3: Cross multiply
    755.49x = 1,133.23 × 207.67
  4. Step 4: Simplify right side
    755.49x = 235,337.87
  5. Step 5: Solve for x
    x = 235,337.87/755.49
  6. Step 6: Final answer
    x = 311.50

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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.