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Finding the Fourth Proportional to 838.19, 1,257.19 and 253.06

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Solution

The fourth proportional to 838.19, 1,257.19 and 253.06 is: 379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.19 : 1,257.19 = 253.06 : x
  2. Step 2: Convert to fraction form
    838.19/1,257.19 = 253.06/x
  3. Step 3: Cross multiply
    838.19x = 1,257.19 × 253.06
  4. Step 4: Simplify right side
    838.19x = 318,138.61
  5. Step 5: Solve for x
    x = 318,138.61/838.19
  6. Step 6: Final answer
    x = 379.56

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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.