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Finding the Fourth Proportional to 1,176.80, 1,765.78 and 832.34

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Solution

The fourth proportional to 1,176.80, 1,765.78 and 832.34 is: 1,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.80 : 1,765.78 = 832.34 : x
  2. Step 2: Convert to fraction form
    1,176.80/1,765.78 = 832.34/x
  3. Step 3: Cross multiply
    1,176.80x = 1,765.78 × 832.34
  4. Step 4: Simplify right side
    1,176.80x = 1,469,729.33
  5. Step 5: Solve for x
    x = 1,469,729.33/1,176.80
  6. Step 6: Final answer
    x = 1,248.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.