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Finding the Fourth Proportional to 1,179.34, 1,768.34 and 486.48

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Solution

The fourth proportional to 1,179.34, 1,768.34 and 486.48 is: 729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.34 : 1,768.34 = 486.48 : x
  2. Step 2: Convert to fraction form
    1,179.34/1,768.34 = 486.48/x
  3. Step 3: Cross multiply
    1,179.34x = 1,768.34 × 486.48
  4. Step 4: Simplify right side
    1,179.34x = 860,262.04
  5. Step 5: Solve for x
    x = 860,262.04/1,179.34
  6. Step 6: Final answer
    x = 729.44

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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.