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Finding the Fourth Proportional to 766.32, 1,057.50 and 471.54

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Solution

The fourth proportional to 766.32, 1,057.50 and 471.54 is: 650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.32 : 1,057.50 = 471.54 : x
  2. Step 2: Convert to fraction form
    766.32/1,057.50 = 471.54/x
  3. Step 3: Cross multiply
    766.32x = 1,057.50 × 471.54
  4. Step 4: Simplify right side
    766.32x = 498,653.55
  5. Step 5: Solve for x
    x = 498,653.55/766.32
  6. Step 6: Final answer
    x = 650.71

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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.