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Finding the Fourth Proportional to 838.05, 1,256.98 and 260.88

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Solution

The fourth proportional to 838.05, 1,256.98 and 260.88 is: 391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.05 : 1,256.98 = 260.88 : x
  2. Step 2: Convert to fraction form
    838.05/1,256.98 = 260.88/x
  3. Step 3: Cross multiply
    838.05x = 1,256.98 × 260.88
  4. Step 4: Simplify right side
    838.05x = 327,920.94
  5. Step 5: Solve for x
    x = 327,920.94/838.05
  6. Step 6: Final answer
    x = 391.29

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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.