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Finding the Fourth Proportional to 1,181.86, 1,769.68 and 833.31

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Solution

The fourth proportional to 1,181.86, 1,769.68 and 833.31 is: 1,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.86 : 1,769.68 = 833.31 : x
  2. Step 2: Convert to fraction form
    1,181.86/1,769.68 = 833.31/x
  3. Step 3: Cross multiply
    1,181.86x = 1,769.68 × 833.31
  4. Step 4: Simplify right side
    1,181.86x = 1,474,692.04
  5. Step 5: Solve for x
    x = 1,474,692.04/1,181.86
  6. Step 6: Final answer
    x = 1,247.77

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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.