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Finding the Fourth Proportional to 716.63, 1,074.31 and 284.09

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Solution

The fourth proportional to 716.63, 1,074.31 and 284.09 is: 425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.63 : 1,074.31 = 284.09 : x
  2. Step 2: Convert to fraction form
    716.63/1,074.31 = 284.09/x
  3. Step 3: Cross multiply
    716.63x = 1,074.31 × 284.09
  4. Step 4: Simplify right side
    716.63x = 305,200.73
  5. Step 5: Solve for x
    x = 305,200.73/716.63
  6. Step 6: Final answer
    x = 425.88

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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.