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Finding the Fourth Proportional to 838.36, 1,257.78 and 261.40

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Solution

The fourth proportional to 838.36, 1,257.78 and 261.40 is: 392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.36 : 1,257.78 = 261.40 : x
  2. Step 2: Convert to fraction form
    838.36/1,257.78 = 261.40/x
  3. Step 3: Cross multiply
    838.36x = 1,257.78 × 261.40
  4. Step 4: Simplify right side
    838.36x = 328,783.69
  5. Step 5: Solve for x
    x = 328,783.69/838.36
  6. Step 6: Final answer
    x = 392.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.