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Finding the Fourth Proportional to 734.54, 1,101.80 and 301.70

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Solution

The fourth proportional to 734.54, 1,101.80 and 301.70 is: 452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.54 : 1,101.80 = 301.70 : x
  2. Step 2: Convert to fraction form
    734.54/1,101.80 = 301.70/x
  3. Step 3: Cross multiply
    734.54x = 1,101.80 × 301.70
  4. Step 4: Simplify right side
    734.54x = 332,406.04
  5. Step 5: Solve for x
    x = 332,406.04/734.54
  6. Step 6: Final answer
    x = 452.54

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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.