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Finding the Fourth Proportional to 791.66, 1,186.14 and 723.62

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Solution

The fourth proportional to 791.66, 1,186.14 and 723.62 is: 1,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.66 : 1,186.14 = 723.62 : x
  2. Step 2: Convert to fraction form
    791.66/1,186.14 = 723.62/x
  3. Step 3: Cross multiply
    791.66x = 1,186.14 × 723.62
  4. Step 4: Simplify right side
    791.66x = 858,314.63
  5. Step 5: Solve for x
    x = 858,314.63/791.66
  6. Step 6: Final answer
    x = 1,084.20

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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.