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Finding the Fourth Proportional to 694.86, 1,040.49 and 550.14

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Solution

The fourth proportional to 694.86, 1,040.49 and 550.14 is: 823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.86 : 1,040.49 = 550.14 : x
  2. Step 2: Convert to fraction form
    694.86/1,040.49 = 550.14/x
  3. Step 3: Cross multiply
    694.86x = 1,040.49 × 550.14
  4. Step 4: Simplify right side
    694.86x = 572,415.17
  5. Step 5: Solve for x
    x = 572,415.17/694.86
  6. Step 6: Final answer
    x = 823.78

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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.