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Finding the Fourth Proportional to 766.38, 1,057.61 and 417.07

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Solution

The fourth proportional to 766.38, 1,057.61 and 417.07 is: 575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.38 : 1,057.61 = 417.07 : x
  2. Step 2: Convert to fraction form
    766.38/1,057.61 = 417.07/x
  3. Step 3: Cross multiply
    766.38x = 1,057.61 × 417.07
  4. Step 4: Simplify right side
    766.38x = 441,097.40
  5. Step 5: Solve for x
    x = 441,097.40/766.38
  6. Step 6: Final answer
    x = 575.56

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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.