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Finding the Fourth Proportional to 706.22, 1,059.40 and 193.22

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Solution

The fourth proportional to 706.22, 1,059.40 and 193.22 is: 289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.22 : 1,059.40 = 193.22 : x
  2. Step 2: Convert to fraction form
    706.22/1,059.40 = 193.22/x
  3. Step 3: Cross multiply
    706.22x = 1,059.40 × 193.22
  4. Step 4: Simplify right side
    706.22x = 204,697.27
  5. Step 5: Solve for x
    x = 204,697.27/706.22
  6. Step 6: Final answer
    x = 289.85

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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.