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Finding the Fourth Proportional to 766.40, 1,057.25 and 471.49

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Solution

The fourth proportional to 766.40, 1,057.25 and 471.49 is: 650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.40 : 1,057.25 = 471.49 : x
  2. Step 2: Convert to fraction form
    766.40/1,057.25 = 471.49/x
  3. Step 3: Cross multiply
    766.40x = 1,057.25 × 471.49
  4. Step 4: Simplify right side
    766.40x = 498,481.34
  5. Step 5: Solve for x
    x = 498,481.34/766.40
  6. Step 6: Final answer
    x = 650.42

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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.