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Finding the Fourth Proportional to 705.89, 1,059.11 and 659.45

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Solution

The fourth proportional to 705.89, 1,059.11 and 659.45 is: 989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.89 : 1,059.11 = 659.45 : x
  2. Step 2: Convert to fraction form
    705.89/1,059.11 = 659.45/x
  3. Step 3: Cross multiply
    705.89x = 1,059.11 × 659.45
  4. Step 4: Simplify right side
    705.89x = 698,431.91
  5. Step 5: Solve for x
    x = 698,431.91/705.89
  6. Step 6: Final answer
    x = 989.43

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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.