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Finding the Fourth Proportional to 827.94, 1,141.47 and 683.76

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Solution

The fourth proportional to 827.94, 1,141.47 and 683.76 is: 942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.94 : 1,141.47 = 683.76 : x
  2. Step 2: Convert to fraction form
    827.94/1,141.47 = 683.76/x
  3. Step 3: Cross multiply
    827.94x = 1,141.47 × 683.76
  4. Step 4: Simplify right side
    827.94x = 780,491.53
  5. Step 5: Solve for x
    x = 780,491.53/827.94
  6. Step 6: Final answer
    x = 942.69

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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.