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Finding the Fourth Proportional to 766.13, 1,057.28 and 416.84

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Solution

The fourth proportional to 766.13, 1,057.28 and 416.84 is: 575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.13 : 1,057.28 = 416.84 : x
  2. Step 2: Convert to fraction form
    766.13/1,057.28 = 416.84/x
  3. Step 3: Cross multiply
    766.13x = 1,057.28 × 416.84
  4. Step 4: Simplify right side
    766.13x = 440,709.22
  5. Step 5: Solve for x
    x = 440,709.22/766.13
  6. Step 6: Final answer
    x = 575.24

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