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Finding the Fourth Proportional to 777.85, 1,166.42 and 412.54

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Solution

The fourth proportional to 777.85, 1,166.42 and 412.54 is: 618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.85 : 1,166.42 = 412.54 : x
  2. Step 2: Convert to fraction form
    777.85/1,166.42 = 412.54/x
  3. Step 3: Cross multiply
    777.85x = 1,166.42 × 412.54
  4. Step 4: Simplify right side
    777.85x = 481,197.26
  5. Step 5: Solve for x
    x = 481,197.26/777.85
  6. Step 6: Final answer
    x = 618.62

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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.