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Finding the Fourth Proportional to 872.35, 1,204.00 and 557.37

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Solution

The fourth proportional to 872.35, 1,204.00 and 557.37 is: 769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.35 : 1,204.00 = 557.37 : x
  2. Step 2: Convert to fraction form
    872.35/1,204.00 = 557.37/x
  3. Step 3: Cross multiply
    872.35x = 1,204.00 × 557.37
  4. Step 4: Simplify right side
    872.35x = 671,072.09
  5. Step 5: Solve for x
    x = 671,072.09/872.35
  6. Step 6: Final answer
    x = 769.27

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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.