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Finding the Fourth Proportional to 916.52, 1,263.75 and 827.97

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Solution

The fourth proportional to 916.52, 1,263.75 and 827.97 is: 1,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.52 : 1,263.75 = 827.97 : x
  2. Step 2: Convert to fraction form
    916.52/1,263.75 = 827.97/x
  3. Step 3: Cross multiply
    916.52x = 1,263.75 × 827.97
  4. Step 4: Simplify right side
    916.52x = 1,046,351.01
  5. Step 5: Solve for x
    x = 1,046,351.01/916.52
  6. Step 6: Final answer
    x = 1,141.66

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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.