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Finding the Fourth Proportional to 799.24, 1,197.73 and 601.45

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Solution

The fourth proportional to 799.24, 1,197.73 and 601.45 is: 901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.24 : 1,197.73 = 601.45 : x
  2. Step 2: Convert to fraction form
    799.24/1,197.73 = 601.45/x
  3. Step 3: Cross multiply
    799.24x = 1,197.73 × 601.45
  4. Step 4: Simplify right side
    799.24x = 720,379.69
  5. Step 5: Solve for x
    x = 720,379.69/799.24
  6. Step 6: Final answer
    x = 901.33

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