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Finding the Fourth Proportional to 694.81, 1,040.89 and 547.78

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Solution

The fourth proportional to 694.81, 1,040.89 and 547.78 is: 820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.81 : 1,040.89 = 547.78 : x
  2. Step 2: Convert to fraction form
    694.81/1,040.89 = 547.78/x
  3. Step 3: Cross multiply
    694.81x = 1,040.89 × 547.78
  4. Step 4: Simplify right side
    694.81x = 570,178.72
  5. Step 5: Solve for x
    x = 570,178.72/694.81
  6. Step 6: Final answer
    x = 820.63

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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.