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Finding the Fourth Proportional to 550.40, 823.77 and 515.77

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Solution

The fourth proportional to 550.40, 823.77 and 515.77 is: 771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 823.77 = 515.77 : x
  2. Step 2: Convert to fraction form
    550.40/823.77 = 515.77/x
  3. Step 3: Cross multiply
    550.40x = 823.77 × 515.77
  4. Step 4: Simplify right side
    550.40x = 424,873.79
  5. Step 5: Solve for x
    x = 424,873.79/550.40
  6. Step 6: Final answer
    x = 771.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.