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Finding the Fourth Proportional to 1,143.30, 1,716.08 and 814.61

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Solution

The fourth proportional to 1,143.30, 1,716.08 and 814.61 is: 1,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.30 : 1,716.08 = 814.61 : x
  2. Step 2: Convert to fraction form
    1,143.30/1,716.08 = 814.61/x
  3. Step 3: Cross multiply
    1,143.30x = 1,716.08 × 814.61
  4. Step 4: Simplify right side
    1,143.30x = 1,397,923.28
  5. Step 5: Solve for x
    x = 1,397,923.28/1,143.30
  6. Step 6: Final answer
    x = 1,222.71

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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.