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Finding the Fourth Proportional to 706.54, 1,059.80 and 273.78

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Solution

The fourth proportional to 706.54, 1,059.80 and 273.78 is: 410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.54 : 1,059.80 = 273.78 : x
  2. Step 2: Convert to fraction form
    706.54/1,059.80 = 273.78/x
  3. Step 3: Cross multiply
    706.54x = 1,059.80 × 273.78
  4. Step 4: Simplify right side
    706.54x = 290,152.04
  5. Step 5: Solve for x
    x = 290,152.04/706.54
  6. Step 6: Final answer
    x = 410.67

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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.