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Finding the Fourth Proportional to 1,179.78, 1,769.36 and 486.24

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Solution

The fourth proportional to 1,179.78, 1,769.36 and 486.24 is: 729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.78 : 1,769.36 = 486.24 : x
  2. Step 2: Convert to fraction form
    1,179.78/1,769.36 = 486.24/x
  3. Step 3: Cross multiply
    1,179.78x = 1,769.36 × 486.24
  4. Step 4: Simplify right side
    1,179.78x = 860,331.18
  5. Step 5: Solve for x
    x = 860,331.18/1,179.78
  6. Step 6: Final answer
    x = 729.23

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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.