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Finding the Fourth Proportional to 777.95, 1,166.60 and 257.82

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Solution

The fourth proportional to 777.95, 1,166.60 and 257.82 is: 386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.95 : 1,166.60 = 257.82 : x
  2. Step 2: Convert to fraction form
    777.95/1,166.60 = 257.82/x
  3. Step 3: Cross multiply
    777.95x = 1,166.60 × 257.82
  4. Step 4: Simplify right side
    777.95x = 300,769.08
  5. Step 5: Solve for x
    x = 300,769.08/777.95
  6. Step 6: Final answer
    x = 386.62

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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.