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Finding the Fourth Proportional to 682.83, 943.02 and 523.80

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Solution

The fourth proportional to 682.83, 943.02 and 523.80 is: 723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.83 : 943.02 = 523.80 : x
  2. Step 2: Convert to fraction form
    682.83/943.02 = 523.80/x
  3. Step 3: Cross multiply
    682.83x = 943.02 × 523.80
  4. Step 4: Simplify right side
    682.83x = 493,953.88
  5. Step 5: Solve for x
    x = 493,953.88/682.83
  6. Step 6: Final answer
    x = 723.39

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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.