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Finding the Fourth Proportional to 1,183.09, 1,632.94 and 686.00

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Solution

The fourth proportional to 1,183.09, 1,632.94 and 686.00 is: 946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.09 : 1,632.94 = 686.00 : x
  2. Step 2: Convert to fraction form
    1,183.09/1,632.94 = 686.00/x
  3. Step 3: Cross multiply
    1,183.09x = 1,632.94 × 686.00
  4. Step 4: Simplify right side
    1,183.09x = 1,120,195.66
  5. Step 5: Solve for x
    x = 1,120,195.66/1,183.09
  6. Step 6: Final answer
    x = 946.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.