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Finding the Fourth Proportional to 697.71, 961.77 and 550.09

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Solution

The fourth proportional to 697.71, 961.77 and 550.09 is: 758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.71 : 961.77 = 550.09 : x
  2. Step 2: Convert to fraction form
    697.71/961.77 = 550.09/x
  3. Step 3: Cross multiply
    697.71x = 961.77 × 550.09
  4. Step 4: Simplify right side
    697.71x = 529,063.32
  5. Step 5: Solve for x
    x = 529,063.32/697.71
  6. Step 6: Final answer
    x = 758.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.