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Finding the Fourth Proportional to 690.81, 952.41 and 681.63

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Solution

The fourth proportional to 690.81, 952.41 and 681.63 is: 939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.81 : 952.41 = 681.63 : x
  2. Step 2: Convert to fraction form
    690.81/952.41 = 681.63/x
  3. Step 3: Cross multiply
    690.81x = 952.41 × 681.63
  4. Step 4: Simplify right side
    690.81x = 649,191.23
  5. Step 5: Solve for x
    x = 649,191.23/690.81
  6. Step 6: Final answer
    x = 939.75

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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.