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Finding the Fourth Proportional to 838.49, 1,257.80 and 475.61

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Solution

The fourth proportional to 838.49, 1,257.80 and 475.61 is: 713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.49 : 1,257.80 = 475.61 : x
  2. Step 2: Convert to fraction form
    838.49/1,257.80 = 475.61/x
  3. Step 3: Cross multiply
    838.49x = 1,257.80 × 475.61
  4. Step 4: Simplify right side
    838.49x = 598,213.59
  5. Step 5: Solve for x
    x = 598,213.59/838.49
  6. Step 6: Final answer
    x = 713.45

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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.