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Finding the Fourth Proportional to 774.60, 1,160.28 and 628.80

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Solution

The fourth proportional to 774.60, 1,160.28 and 628.80 is: 941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.60 : 1,160.28 = 628.80 : x
  2. Step 2: Convert to fraction form
    774.60/1,160.28 = 628.80/x
  3. Step 3: Cross multiply
    774.60x = 1,160.28 × 628.80
  4. Step 4: Simplify right side
    774.60x = 729,584.06
  5. Step 5: Solve for x
    x = 729,584.06/774.60
  6. Step 6: Final answer
    x = 941.88

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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.