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Finding the Fourth Proportional to 766.43, 1,057.66 and 417.12

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Solution

The fourth proportional to 766.43, 1,057.66 and 417.12 is: 575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.43 : 1,057.66 = 417.12 : x
  2. Step 2: Convert to fraction form
    766.43/1,057.66 = 417.12/x
  3. Step 3: Cross multiply
    766.43x = 1,057.66 × 417.12
  4. Step 4: Simplify right side
    766.43x = 441,171.14
  5. Step 5: Solve for x
    x = 441,171.14/766.43
  6. Step 6: Final answer
    x = 575.62

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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.