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Finding the Fourth Proportional to 550.44, 829.91 and 513.32

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Solution

The fourth proportional to 550.44, 829.91 and 513.32 is: 773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.44 : 829.91 = 513.32 : x
  2. Step 2: Convert to fraction form
    550.44/829.91 = 513.32/x
  3. Step 3: Cross multiply
    550.44x = 829.91 × 513.32
  4. Step 4: Simplify right side
    550.44x = 426,009.40
  5. Step 5: Solve for x
    x = 426,009.40/550.44
  6. Step 6: Final answer
    x = 773.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.