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Finding the Fourth Proportional to 773.80, 1,160.70 and 677.80

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Solution

The fourth proportional to 773.80, 1,160.70 and 677.80 is: 1,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.80 : 1,160.70 = 677.80 : x
  2. Step 2: Convert to fraction form
    773.80/1,160.70 = 677.80/x
  3. Step 3: Cross multiply
    773.80x = 1,160.70 × 677.80
  4. Step 4: Simplify right side
    773.80x = 786,722.46
  5. Step 5: Solve for x
    x = 786,722.46/773.80
  6. Step 6: Final answer
    x = 1,016.70

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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.