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Finding the Fourth Proportional to 777.84, 1,166.92 and 257.81

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Solution

The fourth proportional to 777.84, 1,166.92 and 257.81 is: 386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.84 : 1,166.92 = 257.81 : x
  2. Step 2: Convert to fraction form
    777.84/1,166.92 = 257.81/x
  3. Step 3: Cross multiply
    777.84x = 1,166.92 × 257.81
  4. Step 4: Simplify right side
    777.84x = 300,840.08
  5. Step 5: Solve for x
    x = 300,840.08/777.84
  6. Step 6: Final answer
    x = 386.77

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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.