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Finding the Fourth Proportional to 879.94, 1,213.41 and 756.01

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Solution

The fourth proportional to 879.94, 1,213.41 and 756.01 is: 1,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.94 : 1,213.41 = 756.01 : x
  2. Step 2: Convert to fraction form
    879.94/1,213.41 = 756.01/x
  3. Step 3: Cross multiply
    879.94x = 1,213.41 × 756.01
  4. Step 4: Simplify right side
    879.94x = 917,350.09
  5. Step 5: Solve for x
    x = 917,350.09/879.94
  6. Step 6: Final answer
    x = 1,042.51

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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.