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Finding the Fourth Proportional to 766.80, 1,057.86 and 472.37

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Solution

The fourth proportional to 766.80, 1,057.86 and 472.37 is: 651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.80 : 1,057.86 = 472.37 : x
  2. Step 2: Convert to fraction form
    766.80/1,057.86 = 472.37/x
  3. Step 3: Cross multiply
    766.80x = 1,057.86 × 472.37
  4. Step 4: Simplify right side
    766.80x = 499,696.04
  5. Step 5: Solve for x
    x = 499,696.04/766.80
  6. Step 6: Final answer
    x = 651.66

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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.