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Finding the Fourth Proportional to 1,077.73, 1,616.09 and 492.56

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Solution

The fourth proportional to 1,077.73, 1,616.09 and 492.56 is: 738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.73 : 1,616.09 = 492.56 : x
  2. Step 2: Convert to fraction form
    1,077.73/1,616.09 = 492.56/x
  3. Step 3: Cross multiply
    1,077.73x = 1,616.09 × 492.56
  4. Step 4: Simplify right side
    1,077.73x = 796,019.08
  5. Step 5: Solve for x
    x = 796,019.08/1,077.73
  6. Step 6: Final answer
    x = 738.60

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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.