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Finding the Fourth Proportional to 766.38, 1,057.62 and 417.09

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Solution

The fourth proportional to 766.38, 1,057.62 and 417.09 is: 575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.38 : 1,057.62 = 417.09 : x
  2. Step 2: Convert to fraction form
    766.38/1,057.62 = 417.09/x
  3. Step 3: Cross multiply
    766.38x = 1,057.62 × 417.09
  4. Step 4: Simplify right side
    766.38x = 441,122.73
  5. Step 5: Solve for x
    x = 441,122.73/766.38
  6. Step 6: Final answer
    x = 575.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.