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Finding the Fourth Proportional to 3,108.70, 4,662.96 and 768.70

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Solution

The fourth proportional to 3,108.70, 4,662.96 and 768.70 is: 1,153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.70 : 4,662.96 = 768.70 : x
  2. Step 2: Convert to fraction form
    3,108.70/4,662.96 = 768.70/x
  3. Step 3: Cross multiply
    3,108.70x = 4,662.96 × 768.70
  4. Step 4: Simplify right side
    3,108.70x = 3,584,417.35
  5. Step 5: Solve for x
    x = 3,584,417.35/3,108.70
  6. Step 6: Final answer
    x = 1,153.03

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1.5x scale

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.