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Finding the Fourth Proportional to 896.92, 1,230.02 and 859.50

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Solution

The fourth proportional to 896.92, 1,230.02 and 859.50 is: 1,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.92 : 1,230.02 = 859.50 : x
  2. Step 2: Convert to fraction form
    896.92/1,230.02 = 859.50/x
  3. Step 3: Cross multiply
    896.92x = 1,230.02 × 859.50
  4. Step 4: Simplify right side
    896.92x = 1,057,203.01
  5. Step 5: Solve for x
    x = 1,057,203.01/896.92
  6. Step 6: Final answer
    x = 1,178.71

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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.