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Finding the Fourth Proportional to 754.47, 1,040.13 and 649.44

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Solution

The fourth proportional to 754.47, 1,040.13 and 649.44 is: 895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.47 : 1,040.13 = 649.44 : x
  2. Step 2: Convert to fraction form
    754.47/1,040.13 = 649.44/x
  3. Step 3: Cross multiply
    754.47x = 1,040.13 × 649.44
  4. Step 4: Simplify right side
    754.47x = 675,502.03
  5. Step 5: Solve for x
    x = 675,502.03/754.47
  6. Step 6: Final answer
    x = 895.33

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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.