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Finding the Fourth Proportional to 774.20, 1,161.30 and 687.80

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Solution

The fourth proportional to 774.20, 1,161.30 and 687.80 is: 1,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.20 : 1,161.30 = 687.80 : x
  2. Step 2: Convert to fraction form
    774.20/1,161.30 = 687.80/x
  3. Step 3: Cross multiply
    774.20x = 1,161.30 × 687.80
  4. Step 4: Simplify right side
    774.20x = 798,742.14
  5. Step 5: Solve for x
    x = 798,742.14/774.20
  6. Step 6: Final answer
    x = 1,031.70

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