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Finding the Fourth Proportional to 874.18, 1,313.09 and 826.80

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Solution

The fourth proportional to 874.18, 1,313.09 and 826.80 is: 1,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.18 : 1,313.09 = 826.80 : x
  2. Step 2: Convert to fraction form
    874.18/1,313.09 = 826.80/x
  3. Step 3: Cross multiply
    874.18x = 1,313.09 × 826.80
  4. Step 4: Simplify right side
    874.18x = 1,085,662.81
  5. Step 5: Solve for x
    x = 1,085,662.81/874.18
  6. Step 6: Final answer
    x = 1,241.92

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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.