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Finding the Fourth Proportional to 880.19, 1,213.85 and 755.81

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Solution

The fourth proportional to 880.19, 1,213.85 and 755.81 is: 1,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.19 : 1,213.85 = 755.81 : x
  2. Step 2: Convert to fraction form
    880.19/1,213.85 = 755.81/x
  3. Step 3: Cross multiply
    880.19x = 1,213.85 × 755.81
  4. Step 4: Simplify right side
    880.19x = 917,439.97
  5. Step 5: Solve for x
    x = 917,439.97/880.19
  6. Step 6: Final answer
    x = 1,042.32

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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.