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Finding the Fourth Proportional to 872.25, 1,314.64 and 751.96

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Solution

The fourth proportional to 872.25, 1,314.64 and 751.96 is: 1,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.25 : 1,314.64 = 751.96 : x
  2. Step 2: Convert to fraction form
    872.25/1,314.64 = 751.96/x
  3. Step 3: Cross multiply
    872.25x = 1,314.64 × 751.96
  4. Step 4: Simplify right side
    872.25x = 988,556.69
  5. Step 5: Solve for x
    x = 988,556.69/872.25
  6. Step 6: Final answer
    x = 1,133.34

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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.