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Finding the Fourth Proportional to 718.82, 1,076.82 and 409.73

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Solution

The fourth proportional to 718.82, 1,076.82 and 409.73 is: 613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.82 : 1,076.82 = 409.73 : x
  2. Step 2: Convert to fraction form
    718.82/1,076.82 = 409.73/x
  3. Step 3: Cross multiply
    718.82x = 1,076.82 × 409.73
  4. Step 4: Simplify right side
    718.82x = 441,200.07
  5. Step 5: Solve for x
    x = 441,200.07/718.82
  6. Step 6: Final answer
    x = 613.79

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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.