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Finding the Fourth Proportional to 885.92, 1,219.28 and 775.68

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Solution

The fourth proportional to 885.92, 1,219.28 and 775.68 is: 1,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.92 : 1,219.28 = 775.68 : x
  2. Step 2: Convert to fraction form
    885.92/1,219.28 = 775.68/x
  3. Step 3: Cross multiply
    885.92x = 1,219.28 × 775.68
  4. Step 4: Simplify right side
    885.92x = 945,771.11
  5. Step 5: Solve for x
    x = 945,771.11/885.92
  6. Step 6: Final answer
    x = 1,067.56

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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.