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Finding the Fourth Proportional to 723.10, 996.78 and 512.56

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Solution

The fourth proportional to 723.10, 996.78 and 512.56 is: 706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.10 : 996.78 = 512.56 : x
  2. Step 2: Convert to fraction form
    723.10/996.78 = 512.56/x
  3. Step 3: Cross multiply
    723.10x = 996.78 × 512.56
  4. Step 4: Simplify right side
    723.10x = 510,909.56
  5. Step 5: Solve for x
    x = 510,909.56/723.10
  6. Step 6: Final answer
    x = 706.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.