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Finding the Fourth Proportional to 801.40, 1,195.75 and 673.40

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Solution

The fourth proportional to 801.40, 1,195.75 and 673.40 is: 1,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.40 : 1,195.75 = 673.40 : x
  2. Step 2: Convert to fraction form
    801.40/1,195.75 = 673.40/x
  3. Step 3: Cross multiply
    801.40x = 1,195.75 × 673.40
  4. Step 4: Simplify right side
    801.40x = 805,218.05
  5. Step 5: Solve for x
    x = 805,218.05/801.40
  6. Step 6: Final answer
    x = 1,004.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.