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Finding the Fourth Proportional to 706.51, 1,059.72 and 219.54

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Solution

The fourth proportional to 706.51, 1,059.72 and 219.54 is: 329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.51 : 1,059.72 = 219.54 : x
  2. Step 2: Convert to fraction form
    706.51/1,059.72 = 219.54/x
  3. Step 3: Cross multiply
    706.51x = 1,059.72 × 219.54
  4. Step 4: Simplify right side
    706.51x = 232,650.93
  5. Step 5: Solve for x
    x = 232,650.93/706.51
  6. Step 6: Final answer
    x = 329.30

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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.