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Finding the Fourth Proportional to 758.78, 1,040.58 and 727.21

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Solution

The fourth proportional to 758.78, 1,040.58 and 727.21 is: 997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.78 : 1,040.58 = 727.21 : x
  2. Step 2: Convert to fraction form
    758.78/1,040.58 = 727.21/x
  3. Step 3: Cross multiply
    758.78x = 1,040.58 × 727.21
  4. Step 4: Simplify right side
    758.78x = 756,721.48
  5. Step 5: Solve for x
    x = 756,721.48/758.78
  6. Step 6: Final answer
    x = 997.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.