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Finding the Fourth Proportional to 705.96, 1,059.44 and 273.11

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Solution

The fourth proportional to 705.96, 1,059.44 and 273.11 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.96 : 1,059.44 = 273.11 : x
  2. Step 2: Convert to fraction form
    705.96/1,059.44 = 273.11/x
  3. Step 3: Cross multiply
    705.96x = 1,059.44 × 273.11
  4. Step 4: Simplify right side
    705.96x = 289,337.00
  5. Step 5: Solve for x
    x = 289,337.00/705.96
  6. Step 6: Final answer
    x = 409.85

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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.