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Finding the Fourth Proportional to 782.83, 1,073.20 and 769.02

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Solution

The fourth proportional to 782.83, 1,073.20 and 769.02 is: 1,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.83 : 1,073.20 = 769.02 : x
  2. Step 2: Convert to fraction form
    782.83/1,073.20 = 769.02/x
  3. Step 3: Cross multiply
    782.83x = 1,073.20 × 769.02
  4. Step 4: Simplify right side
    782.83x = 825,312.26
  5. Step 5: Solve for x
    x = 825,312.26/782.83
  6. Step 6: Final answer
    x = 1,054.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.