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Finding the Fourth Proportional to 755.28, 1,042.14 and 456.45

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Solution

The fourth proportional to 755.28, 1,042.14 and 456.45 is: 629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.28 : 1,042.14 = 456.45 : x
  2. Step 2: Convert to fraction form
    755.28/1,042.14 = 456.45/x
  3. Step 3: Cross multiply
    755.28x = 1,042.14 × 456.45
  4. Step 4: Simplify right side
    755.28x = 475,684.80
  5. Step 5: Solve for x
    x = 475,684.80/755.28
  6. Step 6: Final answer
    x = 629.81

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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.