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Finding the Fourth Proportional to 755.19, 1,042.16 and 456.44

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Solution

The fourth proportional to 755.19, 1,042.16 and 456.44 is: 629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.19 : 1,042.16 = 456.44 : x
  2. Step 2: Convert to fraction form
    755.19/1,042.16 = 456.44/x
  3. Step 3: Cross multiply
    755.19x = 1,042.16 × 456.44
  4. Step 4: Simplify right side
    755.19x = 475,676.02
  5. Step 5: Solve for x
    x = 475,676.02/755.19
  6. Step 6: Final answer
    x = 629.88

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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.