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Finding the Fourth Proportional to 777.70, 1,166.41 and 257.71

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Solution

The fourth proportional to 777.70, 1,166.41 and 257.71 is: 386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.70 : 1,166.41 = 257.71 : x
  2. Step 2: Convert to fraction form
    777.70/1,166.41 = 257.71/x
  3. Step 3: Cross multiply
    777.70x = 1,166.41 × 257.71
  4. Step 4: Simplify right side
    777.70x = 300,595.52
  5. Step 5: Solve for x
    x = 300,595.52/777.70
  6. Step 6: Final answer
    x = 386.52

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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.