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Finding the Fourth Proportional to 705.54, 1,059.11 and 359.27

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Solution

The fourth proportional to 705.54, 1,059.11 and 359.27 is: 539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.54 : 1,059.11 = 359.27 : x
  2. Step 2: Convert to fraction form
    705.54/1,059.11 = 359.27/x
  3. Step 3: Cross multiply
    705.54x = 1,059.11 × 359.27
  4. Step 4: Simplify right side
    705.54x = 380,504.68
  5. Step 5: Solve for x
    x = 380,504.68/705.54
  6. Step 6: Final answer
    x = 539.31

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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.