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Finding the Fourth Proportional to 755.76, 1,042.96 and 441.21

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Solution

The fourth proportional to 755.76, 1,042.96 and 441.21 is: 608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.76 : 1,042.96 = 441.21 : x
  2. Step 2: Convert to fraction form
    755.76/1,042.96 = 441.21/x
  3. Step 3: Cross multiply
    755.76x = 1,042.96 × 441.21
  4. Step 4: Simplify right side
    755.76x = 460,164.38
  5. Step 5: Solve for x
    x = 460,164.38/755.76
  6. Step 6: Final answer
    x = 608.88

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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.