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Finding the Fourth Proportional to 829.26, 1,243.90 and 785.52

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Solution

The fourth proportional to 829.26, 1,243.90 and 785.52 is: 1,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.26 : 1,243.90 = 785.52 : x
  2. Step 2: Convert to fraction form
    829.26/1,243.90 = 785.52/x
  3. Step 3: Cross multiply
    829.26x = 1,243.90 × 785.52
  4. Step 4: Simplify right side
    829.26x = 977,108.33
  5. Step 5: Solve for x
    x = 977,108.33/829.26
  6. Step 6: Final answer
    x = 1,178.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.