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Finding the Fourth Proportional to 716.27, 1,075 and 283.73

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Solution

The fourth proportional to 716.27, 1,075 and 283.73 is: 425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.27 : 1,075 = 283.73 : x
  2. Step 2: Convert to fraction form
    716.27/1,075 = 283.73/x
  3. Step 3: Cross multiply
    716.27x = 1,075 × 283.73
  4. Step 4: Simplify right side
    716.27x = 305,004.38
  5. Step 5: Solve for x
    x = 305,004.38/716.27
  6. Step 6: Final answer
    x = 425.83

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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.