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Finding the Fourth Proportional to 755.17, 1,042.05 and 460.48

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Solution

The fourth proportional to 755.17, 1,042.05 and 460.48 is: 635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.17 : 1,042.05 = 460.48 : x
  2. Step 2: Convert to fraction form
    755.17/1,042.05 = 460.48/x
  3. Step 3: Cross multiply
    755.17x = 1,042.05 × 460.48
  4. Step 4: Simplify right side
    755.17x = 479,843.18
  5. Step 5: Solve for x
    x = 479,843.18/755.17
  6. Step 6: Final answer
    x = 635.41

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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.