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Finding the Fourth Proportional to 766.45, 1,057.72 and 471.61

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Solution

The fourth proportional to 766.45, 1,057.72 and 471.61 is: 650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.45 : 1,057.72 = 471.61 : x
  2. Step 2: Convert to fraction form
    766.45/1,057.72 = 471.61/x
  3. Step 3: Cross multiply
    766.45x = 1,057.72 × 471.61
  4. Step 4: Simplify right side
    766.45x = 498,827.51
  5. Step 5: Solve for x
    x = 498,827.51/766.45
  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.