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Finding the Fourth Proportional to 872.88, 1,203.84 and 786.48

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Solution

The fourth proportional to 872.88, 1,203.84 and 786.48 is: 1,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.88 : 1,203.84 = 786.48 : x
  2. Step 2: Convert to fraction form
    872.88/1,203.84 = 786.48/x
  3. Step 3: Cross multiply
    872.88x = 1,203.84 × 786.48
  4. Step 4: Simplify right side
    872.88x = 946,796.08
  5. Step 5: Solve for x
    x = 946,796.08/872.88
  6. Step 6: Final answer
    x = 1,084.68

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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.