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Finding the Fourth Proportional to 722.39, 996.63 and 473.85

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Solution

The fourth proportional to 722.39, 996.63 and 473.85 is: 653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.39 : 996.63 = 473.85 : x
  2. Step 2: Convert to fraction form
    722.39/996.63 = 473.85/x
  3. Step 3: Cross multiply
    722.39x = 996.63 × 473.85
  4. Step 4: Simplify right side
    722.39x = 472,245.77
  5. Step 5: Solve for x
    x = 472,245.77/722.39
  6. Step 6: Final answer
    x = 653.73

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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.