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Finding the Fourth Proportional to 705.22, 1,057.02 and 271.96

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Solution

The fourth proportional to 705.22, 1,057.02 and 271.96 is: 407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.22 : 1,057.02 = 271.96 : x
  2. Step 2: Convert to fraction form
    705.22/1,057.02 = 271.96/x
  3. Step 3: Cross multiply
    705.22x = 1,057.02 × 271.96
  4. Step 4: Simplify right side
    705.22x = 287,467.16
  5. Step 5: Solve for x
    x = 287,467.16/705.22
  6. Step 6: Final answer
    x = 407.63

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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.