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Finding the Fourth Proportional to 722.58, 996.62 and 536.07

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Solution

The fourth proportional to 722.58, 996.62 and 536.07 is: 739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.58 : 996.62 = 536.07 : x
  2. Step 2: Convert to fraction form
    722.58/996.62 = 536.07/x
  3. Step 3: Cross multiply
    722.58x = 996.62 × 536.07
  4. Step 4: Simplify right side
    722.58x = 534,258.08
  5. Step 5: Solve for x
    x = 534,258.08/722.58
  6. Step 6: Final answer
    x = 739.38

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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.