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Finding the Fourth Proportional to 782.22, 1,077.26 and 765.21

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Solution

The fourth proportional to 782.22, 1,077.26 and 765.21 is: 1,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.22 : 1,077.26 = 765.21 : x
  2. Step 2: Convert to fraction form
    782.22/1,077.26 = 765.21/x
  3. Step 3: Cross multiply
    782.22x = 1,077.26 × 765.21
  4. Step 4: Simplify right side
    782.22x = 824,320.91
  5. Step 5: Solve for x
    x = 824,320.91/782.22
  6. Step 6: Final answer
    x = 1,053.83

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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.