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Finding the Fourth Proportional to 766.07, 1,057.17 and 416.75

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Solution

The fourth proportional to 766.07, 1,057.17 and 416.75 is: 575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.07 : 1,057.17 = 416.75 : x
  2. Step 2: Convert to fraction form
    766.07/1,057.17 = 416.75/x
  3. Step 3: Cross multiply
    766.07x = 1,057.17 × 416.75
  4. Step 4: Simplify right side
    766.07x = 440,575.60
  5. Step 5: Solve for x
    x = 440,575.60/766.07
  6. Step 6: Final answer
    x = 575.12

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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.