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Finding the Fourth Proportional to 779.26, 1,076.80 and 741.29

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Solution

The fourth proportional to 779.26, 1,076.80 and 741.29 is: 1,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.26 : 1,076.80 = 741.29 : x
  2. Step 2: Convert to fraction form
    779.26/1,076.80 = 741.29/x
  3. Step 3: Cross multiply
    779.26x = 1,076.80 × 741.29
  4. Step 4: Simplify right side
    779.26x = 798,221.07
  5. Step 5: Solve for x
    x = 798,221.07/779.26
  6. Step 6: Final answer
    x = 1,024.34

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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.