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Finding the Fourth Proportional to 766.80, 1,147.77 and 506.21

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Solution

The fourth proportional to 766.80, 1,147.77 and 506.21 is: 757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.80 : 1,147.77 = 506.21 : x
  2. Step 2: Convert to fraction form
    766.80/1,147.77 = 506.21/x
  3. Step 3: Cross multiply
    766.80x = 1,147.77 × 506.21
  4. Step 4: Simplify right side
    766.80x = 581,006.91
  5. Step 5: Solve for x
    x = 581,006.91/766.80
  6. Step 6: Final answer
    x = 757.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.