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Finding the Fourth Proportional to 1,180.43, 1,769.12 and 486.29

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Solution

The fourth proportional to 1,180.43, 1,769.12 and 486.29 is: 728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.43 : 1,769.12 = 486.29 : x
  2. Step 2: Convert to fraction form
    1,180.43/1,769.12 = 486.29/x
  3. Step 3: Cross multiply
    1,180.43x = 1,769.12 × 486.29
  4. Step 4: Simplify right side
    1,180.43x = 860,302.93
  5. Step 5: Solve for x
    x = 860,302.93/1,180.43
  6. Step 6: Final answer
    x = 728.80

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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.