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Finding the Fourth Proportional to 777.84, 1,166.20 and 412.80

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Solution

The fourth proportional to 777.84, 1,166.20 and 412.80 is: 618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.84 : 1,166.20 = 412.80 : x
  2. Step 2: Convert to fraction form
    777.84/1,166.20 = 412.80/x
  3. Step 3: Cross multiply
    777.84x = 1,166.20 × 412.80
  4. Step 4: Simplify right side
    777.84x = 481,407.36
  5. Step 5: Solve for x
    x = 481,407.36/777.84
  6. Step 6: Final answer
    x = 618.90

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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.