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Finding the Fourth Proportional to 838.14, 1,257 and 261.03

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Solution

The fourth proportional to 838.14, 1,257 and 261.03 is: 391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.14 : 1,257 = 261.03 : x
  2. Step 2: Convert to fraction form
    838.14/1,257 = 261.03/x
  3. Step 3: Cross multiply
    838.14x = 1,257 × 261.03
  4. Step 4: Simplify right side
    838.14x = 328,114.71
  5. Step 5: Solve for x
    x = 328,114.71/838.14
  6. Step 6: Final answer
    x = 391.48

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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.