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Finding the Fourth Proportional to 791.40, 1,186.46 and 407.40

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Solution

The fourth proportional to 791.40, 1,186.46 and 407.40 is: 610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.40 : 1,186.46 = 407.40 : x
  2. Step 2: Convert to fraction form
    791.40/1,186.46 = 407.40/x
  3. Step 3: Cross multiply
    791.40x = 1,186.46 × 407.40
  4. Step 4: Simplify right side
    791.40x = 483,363.80
  5. Step 5: Solve for x
    x = 483,363.80/791.40
  6. Step 6: Final answer
    x = 610.77

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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.