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Finding the Fourth Proportional to 705.08, 1,057.62 and 512.12

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Solution

The fourth proportional to 705.08, 1,057.62 and 512.12 is: 768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.08 : 1,057.62 = 512.12 : x
  2. Step 2: Convert to fraction form
    705.08/1,057.62 = 512.12/x
  3. Step 3: Cross multiply
    705.08x = 1,057.62 × 512.12
  4. Step 4: Simplify right side
    705.08x = 541,628.35
  5. Step 5: Solve for x
    x = 541,628.35/705.08
  6. Step 6: Final answer
    x = 768.18

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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.