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Finding the Fourth Proportional to 648.81, 974.43 and 512.73

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Solution

The fourth proportional to 648.81, 974.43 and 512.73 is: 770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.81 : 974.43 = 512.73 : x
  2. Step 2: Convert to fraction form
    648.81/974.43 = 512.73/x
  3. Step 3: Cross multiply
    648.81x = 974.43 × 512.73
  4. Step 4: Simplify right side
    648.81x = 499,619.49
  5. Step 5: Solve for x
    x = 499,619.49/648.81
  6. Step 6: Final answer
    x = 770.06

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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.