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Finding the Fourth Proportional to 734.77, 1,102.14 and 301.62

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Solution

The fourth proportional to 734.77, 1,102.14 and 301.62 is: 452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.77 : 1,102.14 = 301.62 : x
  2. Step 2: Convert to fraction form
    734.77/1,102.14 = 301.62/x
  3. Step 3: Cross multiply
    734.77x = 1,102.14 × 301.62
  4. Step 4: Simplify right side
    734.77x = 332,427.47
  5. Step 5: Solve for x
    x = 332,427.47/734.77
  6. Step 6: Final answer
    x = 452.43

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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.