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Finding the Fourth Proportional to 838.65, 1,257.97 and 633.62

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Solution

The fourth proportional to 838.65, 1,257.97 and 633.62 is: 950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.65 : 1,257.97 = 633.62 : x
  2. Step 2: Convert to fraction form
    838.65/1,257.97 = 633.62/x
  3. Step 3: Cross multiply
    838.65x = 1,257.97 × 633.62
  4. Step 4: Simplify right side
    838.65x = 797,068.66
  5. Step 5: Solve for x
    x = 797,068.66/838.65
  6. Step 6: Final answer
    x = 950.42

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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.