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Finding the Fourth Proportional to 874.33, 1,199.34 and 856.10

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Solution

The fourth proportional to 874.33, 1,199.34 and 856.10 is: 1,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.33 : 1,199.34 = 856.10 : x
  2. Step 2: Convert to fraction form
    874.33/1,199.34 = 856.10/x
  3. Step 3: Cross multiply
    874.33x = 1,199.34 × 856.10
  4. Step 4: Simplify right side
    874.33x = 1,026,757.97
  5. Step 5: Solve for x
    x = 1,026,757.97/874.33
  6. Step 6: Final answer
    x = 1,174.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.