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Finding the Fourth Proportional to 734.57, 1,101.86 and 301.63

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Solution

The fourth proportional to 734.57, 1,101.86 and 301.63 is: 452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.57 : 1,101.86 = 301.63 : x
  2. Step 2: Convert to fraction form
    734.57/1,101.86 = 301.63/x
  3. Step 3: Cross multiply
    734.57x = 1,101.86 × 301.63
  4. Step 4: Simplify right side
    734.57x = 332,354.03
  5. Step 5: Solve for x
    x = 332,354.03/734.57
  6. Step 6: Final answer
    x = 452.45

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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.