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Finding the Fourth Proportional to 909.89, 1,358.22 and 842.27

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Solution

The fourth proportional to 909.89, 1,358.22 and 842.27 is: 1,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.89 : 1,358.22 = 842.27 : x
  2. Step 2: Convert to fraction form
    909.89/1,358.22 = 842.27/x
  3. Step 3: Cross multiply
    909.89x = 1,358.22 × 842.27
  4. Step 4: Simplify right side
    909.89x = 1,143,983.75
  5. Step 5: Solve for x
    x = 1,143,983.75/909.89
  6. Step 6: Final answer
    x = 1,257.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.