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Finding the Fourth Proportional to 838.78, 1,257.78 and 318.88

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Solution

The fourth proportional to 838.78, 1,257.78 and 318.88 is: 478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.78 : 1,257.78 = 318.88 : x
  2. Step 2: Convert to fraction form
    838.78/1,257.78 = 318.88/x
  3. Step 3: Cross multiply
    838.78x = 1,257.78 × 318.88
  4. Step 4: Simplify right side
    838.78x = 401,080.89
  5. Step 5: Solve for x
    x = 401,080.89/838.78
  6. Step 6: Final answer
    x = 478.17

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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.