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Finding the Fourth Proportional to 722.83, 996.97 and 536.32

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Solution

The fourth proportional to 722.83, 996.97 and 536.32 is: 739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.83 : 996.97 = 536.32 : x
  2. Step 2: Convert to fraction form
    722.83/996.97 = 536.32/x
  3. Step 3: Cross multiply
    722.83x = 996.97 × 536.32
  4. Step 4: Simplify right side
    722.83x = 534,694.95
  5. Step 5: Solve for x
    x = 534,694.95/722.83
  6. Step 6: Final answer
    x = 739.72

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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.