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Finding the Fourth Proportional to 838.32, 1,257.78 and 405.78

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Solution

The fourth proportional to 838.32, 1,257.78 and 405.78 is: 608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.32 : 1,257.78 = 405.78 : x
  2. Step 2: Convert to fraction form
    838.32/1,257.78 = 405.78/x
  3. Step 3: Cross multiply
    838.32x = 1,257.78 × 405.78
  4. Step 4: Simplify right side
    838.32x = 510,381.97
  5. Step 5: Solve for x
    x = 510,381.97/838.32
  6. Step 6: Final answer
    x = 608.82

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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.