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Finding the Fourth Proportional to 777.81, 1,166.74 and 257.83

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Solution

The fourth proportional to 777.81, 1,166.74 and 257.83 is: 386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.81 : 1,166.74 = 257.83 : x
  2. Step 2: Convert to fraction form
    777.81/1,166.74 = 257.83/x
  3. Step 3: Cross multiply
    777.81x = 1,166.74 × 257.83
  4. Step 4: Simplify right side
    777.81x = 300,817.01
  5. Step 5: Solve for x
    x = 300,817.01/777.81
  6. Step 6: Final answer
    x = 386.75

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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.