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Finding the Fourth Proportional to 838.84, 1,257.83 and 492.25

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Solution

The fourth proportional to 838.84, 1,257.83 and 492.25 is: 738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.84 : 1,257.83 = 492.25 : x
  2. Step 2: Convert to fraction form
    838.84/1,257.83 = 492.25/x
  3. Step 3: Cross multiply
    838.84x = 1,257.83 × 492.25
  4. Step 4: Simplify right side
    838.84x = 619,166.82
  5. Step 5: Solve for x
    x = 619,166.82/838.84
  6. Step 6: Final answer
    x = 738.12

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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.