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Finding the Fourth Proportional to 872.39, 1,204.59 and 541.37

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Solution

The fourth proportional to 872.39, 1,204.59 and 541.37 is: 747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.39 : 1,204.59 = 541.37 : x
  2. Step 2: Convert to fraction form
    872.39/1,204.59 = 541.37/x
  3. Step 3: Cross multiply
    872.39x = 1,204.59 × 541.37
  4. Step 4: Simplify right side
    872.39x = 652,122.87
  5. Step 5: Solve for x
    x = 652,122.87/872.39
  6. Step 6: Final answer
    x = 747.52

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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.