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Finding the Fourth Proportional to 884.82, 1,325.18 and 775.47

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Solution

The fourth proportional to 884.82, 1,325.18 and 775.47 is: 1,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.82 : 1,325.18 = 775.47 : x
  2. Step 2: Convert to fraction form
    884.82/1,325.18 = 775.47/x
  3. Step 3: Cross multiply
    884.82x = 1,325.18 × 775.47
  4. Step 4: Simplify right side
    884.82x = 1,027,637.33
  5. Step 5: Solve for x
    x = 1,027,637.33/884.82
  6. Step 6: Final answer
    x = 1,161.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.