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Finding the Fourth Proportional to 838.60, 1,257.04 and 427.48

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Solution

The fourth proportional to 838.60, 1,257.04 and 427.48 is: 640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.60 : 1,257.04 = 427.48 : x
  2. Step 2: Convert to fraction form
    838.60/1,257.04 = 427.48/x
  3. Step 3: Cross multiply
    838.60x = 1,257.04 × 427.48
  4. Step 4: Simplify right side
    838.60x = 537,359.46
  5. Step 5: Solve for x
    x = 537,359.46/838.60
  6. Step 6: Final answer
    x = 640.78

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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.