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Finding the Fourth Proportional to 782.85, 1,080.89 and 733.23

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Solution

The fourth proportional to 782.85, 1,080.89 and 733.23 is: 1,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.85 : 1,080.89 = 733.23 : x
  2. Step 2: Convert to fraction form
    782.85/1,080.89 = 733.23/x
  3. Step 3: Cross multiply
    782.85x = 1,080.89 × 733.23
  4. Step 4: Simplify right side
    782.85x = 792,537.31
  5. Step 5: Solve for x
    x = 792,537.31/782.85
  6. Step 6: Final answer
    x = 1,012.37

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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.