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Finding the Fourth Proportional to 823.31, 1,134.86 and 755.44

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Solution

The fourth proportional to 823.31, 1,134.86 and 755.44 is: 1,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.31 : 1,134.86 = 755.44 : x
  2. Step 2: Convert to fraction form
    823.31/1,134.86 = 755.44/x
  3. Step 3: Cross multiply
    823.31x = 1,134.86 × 755.44
  4. Step 4: Simplify right side
    823.31x = 857,322.66
  5. Step 5: Solve for x
    x = 857,322.66/823.31
  6. Step 6: Final answer
    x = 1,041.31

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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.