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Finding the Fourth Proportional to 827.52, 1,141.19 and 630.69

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Solution

The fourth proportional to 827.52, 1,141.19 and 630.69 is: 869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.52 : 1,141.19 = 630.69 : x
  2. Step 2: Convert to fraction form
    827.52/1,141.19 = 630.69/x
  3. Step 3: Cross multiply
    827.52x = 1,141.19 × 630.69
  4. Step 4: Simplify right side
    827.52x = 719,732.05
  5. Step 5: Solve for x
    x = 719,732.05/827.52
  6. Step 6: Final answer
    x = 869.75

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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.