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Finding the Fourth Proportional to 778.07, 1,167.03 and 412.47

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Solution

The fourth proportional to 778.07, 1,167.03 and 412.47 is: 618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.07 : 1,167.03 = 412.47 : x
  2. Step 2: Convert to fraction form
    778.07/1,167.03 = 412.47/x
  3. Step 3: Cross multiply
    778.07x = 1,167.03 × 412.47
  4. Step 4: Simplify right side
    778.07x = 481,362.80
  5. Step 5: Solve for x
    x = 481,362.80/778.07
  6. Step 6: Final answer
    x = 618.66

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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.