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Finding the Fourth Proportional to 949.68, 1,310.36 and 556.62

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Solution

The fourth proportional to 949.68, 1,310.36 and 556.62 is: 768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.68 : 1,310.36 = 556.62 : x
  2. Step 2: Convert to fraction form
    949.68/1,310.36 = 556.62/x
  3. Step 3: Cross multiply
    949.68x = 1,310.36 × 556.62
  4. Step 4: Simplify right side
    949.68x = 729,369.80
  5. Step 5: Solve for x
    x = 729,369.80/949.68
  6. Step 6: Final answer
    x = 768.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.