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Finding the Fourth Proportional to 913.03, 1,367.72 and 694.02

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Solution

The fourth proportional to 913.03, 1,367.72 and 694.02 is: 1,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.03 : 1,367.72 = 694.02 : x
  2. Step 2: Convert to fraction form
    913.03/1,367.72 = 694.02/x
  3. Step 3: Cross multiply
    913.03x = 1,367.72 × 694.02
  4. Step 4: Simplify right side
    913.03x = 949,229.30
  5. Step 5: Solve for x
    x = 949,229.30/913.03
  6. Step 6: Final answer
    x = 1,039.65

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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.