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Finding the Fourth Proportional to 779.63, 1,169.79 and 414.33

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Solution

The fourth proportional to 779.63, 1,169.79 and 414.33 is: 621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.63 : 1,169.79 = 414.33 : x
  2. Step 2: Convert to fraction form
    779.63/1,169.79 = 414.33/x
  3. Step 3: Cross multiply
    779.63x = 1,169.79 × 414.33
  4. Step 4: Simplify right side
    779.63x = 484,679.09
  5. Step 5: Solve for x
    x = 484,679.09/779.63
  6. Step 6: Final answer
    x = 621.68

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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.