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Finding the Fourth Proportional to 879.26, 1,212.59 and 761.18

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Solution

The fourth proportional to 879.26, 1,212.59 and 761.18 is: 1,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.26 : 1,212.59 = 761.18 : x
  2. Step 2: Convert to fraction form
    879.26/1,212.59 = 761.18/x
  3. Step 3: Cross multiply
    879.26x = 1,212.59 × 761.18
  4. Step 4: Simplify right side
    879.26x = 922,995.10
  5. Step 5: Solve for x
    x = 922,995.10/879.26
  6. Step 6: Final answer
    x = 1,049.75

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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.