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Finding the Fourth Proportional to 913.41, 1,369.31 and 682.02

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Solution

The fourth proportional to 913.41, 1,369.31 and 682.02 is: 1,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.41 : 1,369.31 = 682.02 : x
  2. Step 2: Convert to fraction form
    913.41/1,369.31 = 682.02/x
  3. Step 3: Cross multiply
    913.41x = 1,369.31 × 682.02
  4. Step 4: Simplify right side
    913.41x = 933,893.40
  5. Step 5: Solve for x
    x = 933,893.40/913.41
  6. Step 6: Final answer
    x = 1,022.43

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Why These Related Problems?

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