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Finding the Fourth Proportional to 909.38, 1,253.94 and 889.28

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Solution

The fourth proportional to 909.38, 1,253.94 and 889.28 is: 1,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.38 : 1,253.94 = 889.28 : x
  2. Step 2: Convert to fraction form
    909.38/1,253.94 = 889.28/x
  3. Step 3: Cross multiply
    909.38x = 1,253.94 × 889.28
  4. Step 4: Simplify right side
    909.38x = 1,115,103.76
  5. Step 5: Solve for x
    x = 1,115,103.76/909.38
  6. Step 6: Final answer
    x = 1,226.22

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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.