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Finding the Fourth Proportional to 755.48, 1,128.52 and 687.44

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Solution

The fourth proportional to 755.48, 1,128.52 and 687.44 is: 1,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.48 : 1,128.52 = 687.44 : x
  2. Step 2: Convert to fraction form
    755.48/1,128.52 = 687.44/x
  3. Step 3: Cross multiply
    755.48x = 1,128.52 × 687.44
  4. Step 4: Simplify right side
    755.48x = 775,789.79
  5. Step 5: Solve for x
    x = 775,789.79/755.48
  6. Step 6: Final answer
    x = 1,026.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.