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Finding the Fourth Proportional to 766.36, 1,056.82 and 471.57

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Solution

The fourth proportional to 766.36, 1,056.82 and 471.57 is: 650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.36 : 1,056.82 = 471.57 : x
  2. Step 2: Convert to fraction form
    766.36/1,056.82 = 471.57/x
  3. Step 3: Cross multiply
    766.36x = 1,056.82 × 471.57
  4. Step 4: Simplify right side
    766.36x = 498,367.62
  5. Step 5: Solve for x
    x = 498,367.62/766.36
  6. Step 6: Final answer
    x = 650.30

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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.