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Finding the Fourth Proportional to 791.56, 1,189.50 and 407.08

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Solution

The fourth proportional to 791.56, 1,189.50 and 407.08 is: 611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.56 : 1,189.50 = 407.08 : x
  2. Step 2: Convert to fraction form
    791.56/1,189.50 = 407.08/x
  3. Step 3: Cross multiply
    791.56x = 1,189.50 × 407.08
  4. Step 4: Simplify right side
    791.56x = 484,221.66
  5. Step 5: Solve for x
    x = 484,221.66/791.56
  6. Step 6: Final answer
    x = 611.73

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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.