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Finding the Fourth Proportional to 778.01, 1,167.08 and 412.79

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Solution

The fourth proportional to 778.01, 1,167.08 and 412.79 is: 619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.01 : 1,167.08 = 412.79 : x
  2. Step 2: Convert to fraction form
    778.01/1,167.08 = 412.79/x
  3. Step 3: Cross multiply
    778.01x = 1,167.08 × 412.79
  4. Step 4: Simplify right side
    778.01x = 481,751.05
  5. Step 5: Solve for x
    x = 481,751.05/778.01
  6. Step 6: Final answer
    x = 619.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.