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Finding the Fourth Proportional to 755.73, 1,042.31 and 456.96

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Solution

The fourth proportional to 755.73, 1,042.31 and 456.96 is: 630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.73 : 1,042.31 = 456.96 : x
  2. Step 2: Convert to fraction form
    755.73/1,042.31 = 456.96/x
  3. Step 3: Cross multiply
    755.73x = 1,042.31 × 456.96
  4. Step 4: Simplify right side
    755.73x = 476,291.69
  5. Step 5: Solve for x
    x = 476,291.69/755.73
  6. Step 6: Final answer
    x = 630.24

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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.