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Finding the Fourth Proportional to 734.84, 1,102.26 and 301.64

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Solution

The fourth proportional to 734.84, 1,102.26 and 301.64 is: 452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.84 : 1,102.26 = 301.64 : x
  2. Step 2: Convert to fraction form
    734.84/1,102.26 = 301.64/x
  3. Step 3: Cross multiply
    734.84x = 1,102.26 × 301.64
  4. Step 4: Simplify right side
    734.84x = 332,485.71
  5. Step 5: Solve for x
    x = 332,485.71/734.84
  6. Step 6: Final answer
    x = 452.46

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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.