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Finding the Fourth Proportional to 705.45, 1,057.91 and 272.64

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Solution

The fourth proportional to 705.45, 1,057.91 and 272.64 is: 408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.45 : 1,057.91 = 272.64 : x
  2. Step 2: Convert to fraction form
    705.45/1,057.91 = 272.64/x
  3. Step 3: Cross multiply
    705.45x = 1,057.91 × 272.64
  4. Step 4: Simplify right side
    705.45x = 288,427.22
  5. Step 5: Solve for x
    x = 288,427.22/705.45
  6. Step 6: Final answer
    x = 408.86

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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.