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Finding the Fourth Proportional to 876.98, 1,321.49 and 726.27

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Solution

The fourth proportional to 876.98, 1,321.49 and 726.27 is: 1,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.98 : 1,321.49 = 726.27 : x
  2. Step 2: Convert to fraction form
    876.98/1,321.49 = 726.27/x
  3. Step 3: Cross multiply
    876.98x = 1,321.49 × 726.27
  4. Step 4: Simplify right side
    876.98x = 959,758.54
  5. Step 5: Solve for x
    x = 959,758.54/876.98
  6. Step 6: Final answer
    x = 1,094.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.