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Finding the Fourth Proportional to 766.24, 1,057.62 and 471.52

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Solution

The fourth proportional to 766.24, 1,057.62 and 471.52 is: 650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.24 : 1,057.62 = 471.52 : x
  2. Step 2: Convert to fraction form
    766.24/1,057.62 = 471.52/x
  3. Step 3: Cross multiply
    766.24x = 1,057.62 × 471.52
  4. Step 4: Simplify right side
    766.24x = 498,688.98
  5. Step 5: Solve for x
    x = 498,688.98/766.24
  6. Step 6: Final answer
    x = 650.83

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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.