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Finding the Fourth Proportional to 791.19, 1,185.96 and 465.57

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Solution

The fourth proportional to 791.19, 1,185.96 and 465.57 is: 697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.19 : 1,185.96 = 465.57 : x
  2. Step 2: Convert to fraction form
    791.19/1,185.96 = 465.57/x
  3. Step 3: Cross multiply
    791.19x = 1,185.96 × 465.57
  4. Step 4: Simplify right side
    791.19x = 552,147.40
  5. Step 5: Solve for x
    x = 552,147.40/791.19
  6. Step 6: Final answer
    x = 697.87

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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.