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Finding the Fourth Proportional to 706.38, 1,059.56 and 289.82

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Solution

The fourth proportional to 706.38, 1,059.56 and 289.82 is: 434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.38 : 1,059.56 = 289.82 : x
  2. Step 2: Convert to fraction form
    706.38/1,059.56 = 289.82/x
  3. Step 3: Cross multiply
    706.38x = 1,059.56 × 289.82
  4. Step 4: Simplify right side
    706.38x = 307,081.68
  5. Step 5: Solve for x
    x = 307,081.68/706.38
  6. Step 6: Final answer
    x = 434.73

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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.