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Finding the Fourth Proportional to 723.08, 997.68 and 523.76

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Solution

The fourth proportional to 723.08, 997.68 and 523.76 is: 722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.08 : 997.68 = 523.76 : x
  2. Step 2: Convert to fraction form
    723.08/997.68 = 523.76/x
  3. Step 3: Cross multiply
    723.08x = 997.68 × 523.76
  4. Step 4: Simplify right side
    723.08x = 522,544.88
  5. Step 5: Solve for x
    x = 522,544.88/723.08
  6. Step 6: Final answer
    x = 722.67

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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.