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Finding the Fourth Proportional to 1,120, 1,680.64 and 512

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Solution

The fourth proportional to 1,120, 1,680.64 and 512 is: 768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120 : 1,680.64 = 512 : x
  2. Step 2: Convert to fraction form
    1,120/1,680.64 = 512/x
  3. Step 3: Cross multiply
    1,120x = 1,680.64 × 512
  4. Step 4: Simplify right side
    1,120x = 860,487.68
  5. Step 5: Solve for x
    x = 860,487.68/1,120
  6. Step 6: Final answer
    x = 768.29

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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.