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Finding the Fourth Proportional to 801.93, 1,193.31 and 799.20

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Solution

The fourth proportional to 801.93, 1,193.31 and 799.20 is: 1,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.93 : 1,193.31 = 799.20 : x
  2. Step 2: Convert to fraction form
    801.93/1,193.31 = 799.20/x
  3. Step 3: Cross multiply
    801.93x = 1,193.31 × 799.20
  4. Step 4: Simplify right side
    801.93x = 953,693.35
  5. Step 5: Solve for x
    x = 953,693.35/801.93
  6. Step 6: Final answer
    x = 1,189.25

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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.