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Finding the Fourth Proportional to 838.53, 1,257.85 and 283.21

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Solution

The fourth proportional to 838.53, 1,257.85 and 283.21 is: 424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.53 : 1,257.85 = 283.21 : x
  2. Step 2: Convert to fraction form
    838.53/1,257.85 = 283.21/x
  3. Step 3: Cross multiply
    838.53x = 1,257.85 × 283.21
  4. Step 4: Simplify right side
    838.53x = 356,232.91
  5. Step 5: Solve for x
    x = 356,232.91/838.53
  6. Step 6: Final answer
    x = 424.83

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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.