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Finding the Fourth Proportional to 838.63, 1,257.68 and 283.23

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Solution

The fourth proportional to 838.63, 1,257.68 and 283.23 is: 424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.63 : 1,257.68 = 283.23 : x
  2. Step 2: Convert to fraction form
    838.63/1,257.68 = 283.23/x
  3. Step 3: Cross multiply
    838.63x = 1,257.68 × 283.23
  4. Step 4: Simplify right side
    838.63x = 356,212.71
  5. Step 5: Solve for x
    x = 356,212.71/838.63
  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.