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Finding the Fourth Proportional to 777.50, 1,166.09 and 257.56

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Solution

The fourth proportional to 777.50, 1,166.09 and 257.56 is: 386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.50 : 1,166.09 = 257.56 : x
  2. Step 2: Convert to fraction form
    777.50/1,166.09 = 257.56/x
  3. Step 3: Cross multiply
    777.50x = 1,166.09 × 257.56
  4. Step 4: Simplify right side
    777.50x = 300,338.14
  5. Step 5: Solve for x
    x = 300,338.14/777.50
  6. Step 6: Final answer
    x = 386.29

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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.