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Finding the Fourth Proportional to 705.02, 1,057.68 and 218.05

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Solution

The fourth proportional to 705.02, 1,057.68 and 218.05 is: 327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.02 : 1,057.68 = 218.05 : x
  2. Step 2: Convert to fraction form
    705.02/1,057.68 = 218.05/x
  3. Step 3: Cross multiply
    705.02x = 1,057.68 × 218.05
  4. Step 4: Simplify right side
    705.02x = 230,627.12
  5. Step 5: Solve for x
    x = 230,627.12/705.02
  6. Step 6: Final answer
    x = 327.12

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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.