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Finding the Fourth Proportional to 838.46, 1,257.91 and 427.59

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Solution

The fourth proportional to 838.46, 1,257.91 and 427.59 is: 641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.46 : 1,257.91 = 427.59 : x
  2. Step 2: Convert to fraction form
    838.46/1,257.91 = 427.59/x
  3. Step 3: Cross multiply
    838.46x = 1,257.91 × 427.59
  4. Step 4: Simplify right side
    838.46x = 537,868.67
  5. Step 5: Solve for x
    x = 537,868.67/838.46
  6. Step 6: Final answer
    x = 641.49

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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.