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Finding the Fourth Proportional to 768.82, 1,153.24 and 357.84

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Solution

The fourth proportional to 768.82, 1,153.24 and 357.84 is: 536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.82 : 1,153.24 = 357.84 : x
  2. Step 2: Convert to fraction form
    768.82/1,153.24 = 357.84/x
  3. Step 3: Cross multiply
    768.82x = 1,153.24 × 357.84
  4. Step 4: Simplify right side
    768.82x = 412,675.40
  5. Step 5: Solve for x
    x = 412,675.40/768.82
  6. Step 6: Final answer
    x = 536.76

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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.