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Finding the Fourth Proportional to 768.57, 1,059.80 and 547.44

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Solution

The fourth proportional to 768.57, 1,059.80 and 547.44 is: 754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.57 : 1,059.80 = 547.44 : x
  2. Step 2: Convert to fraction form
    768.57/1,059.80 = 547.44/x
  3. Step 3: Cross multiply
    768.57x = 1,059.80 × 547.44
  4. Step 4: Simplify right side
    768.57x = 580,174.17
  5. Step 5: Solve for x
    x = 580,174.17/768.57
  6. Step 6: Final answer
    x = 754.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.