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Finding the Fourth Proportional to 827.81, 1,142.94 and 632.33

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Solution

The fourth proportional to 827.81, 1,142.94 and 632.33 is: 873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.81 : 1,142.94 = 632.33 : x
  2. Step 2: Convert to fraction form
    827.81/1,142.94 = 632.33/x
  3. Step 3: Cross multiply
    827.81x = 1,142.94 × 632.33
  4. Step 4: Simplify right side
    827.81x = 722,715.25
  5. Step 5: Solve for x
    x = 722,715.25/827.81
  6. Step 6: Final answer
    x = 873.04

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Why These Related Problems?

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