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Finding the Fourth Proportional to 829.52, 1,141.87 and 717.44

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Solution

The fourth proportional to 829.52, 1,141.87 and 717.44 is: 987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.52 : 1,141.87 = 717.44 : x
  2. Step 2: Convert to fraction form
    829.52/1,141.87 = 717.44/x
  3. Step 3: Cross multiply
    829.52x = 1,141.87 × 717.44
  4. Step 4: Simplify right side
    829.52x = 819,223.21
  5. Step 5: Solve for x
    x = 819,223.21/829.52
  6. Step 6: Final answer
    x = 987.59

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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.