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Finding the Fourth Proportional to 755.06, 1,042.02 and 460.28

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Solution

The fourth proportional to 755.06, 1,042.02 and 460.28 is: 635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.06 : 1,042.02 = 460.28 : x
  2. Step 2: Convert to fraction form
    755.06/1,042.02 = 460.28/x
  3. Step 3: Cross multiply
    755.06x = 1,042.02 × 460.28
  4. Step 4: Simplify right side
    755.06x = 479,620.97
  5. Step 5: Solve for x
    x = 479,620.97/755.06
  6. Step 6: Final answer
    x = 635.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.