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Finding the Fourth Proportional to 768.64, 1,150.89 and 459.73

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Solution

The fourth proportional to 768.64, 1,150.89 and 459.73 is: 688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.64 : 1,150.89 = 459.73 : x
  2. Step 2: Convert to fraction form
    768.64/1,150.89 = 459.73/x
  3. Step 3: Cross multiply
    768.64x = 1,150.89 × 459.73
  4. Step 4: Simplify right side
    768.64x = 529,098.66
  5. Step 5: Solve for x
    x = 529,098.66/768.64
  6. Step 6: Final answer
    x = 688.36

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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.