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Finding the Fourth Proportional to 838.44, 1,257.82 and 283.14

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Solution

The fourth proportional to 838.44, 1,257.82 and 283.14 is: 424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.44 : 1,257.82 = 283.14 : x
  2. Step 2: Convert to fraction form
    838.44/1,257.82 = 283.14/x
  3. Step 3: Cross multiply
    838.44x = 1,257.82 × 283.14
  4. Step 4: Simplify right side
    838.44x = 356,138.45
  5. Step 5: Solve for x
    x = 356,138.45/838.44
  6. Step 6: Final answer
    x = 424.76

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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.