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Finding the Fourth Proportional to 886.68, 1,224.82 and 880.54

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Solution

The fourth proportional to 886.68, 1,224.82 and 880.54 is: 1,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.68 : 1,224.82 = 880.54 : x
  2. Step 2: Convert to fraction form
    886.68/1,224.82 = 880.54/x
  3. Step 3: Cross multiply
    886.68x = 1,224.82 × 880.54
  4. Step 4: Simplify right side
    886.68x = 1,078,501.04
  5. Step 5: Solve for x
    x = 1,078,501.04/886.68
  6. Step 6: Final answer
    x = 1,216.34

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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.