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Finding the Fourth Proportional to 791.43, 1,186.12 and 425.79

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Solution

The fourth proportional to 791.43, 1,186.12 and 425.79 is: 638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.43 : 1,186.12 = 425.79 : x
  2. Step 2: Convert to fraction form
    791.43/1,186.12 = 425.79/x
  3. Step 3: Cross multiply
    791.43x = 1,186.12 × 425.79
  4. Step 4: Simplify right side
    791.43x = 505,036.17
  5. Step 5: Solve for x
    x = 505,036.17/791.43
  6. Step 6: Final answer
    x = 638.13

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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.