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Finding the Fourth Proportional to 949.73, 1,310.73 and 556.70

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Solution

The fourth proportional to 949.73, 1,310.73 and 556.70 is: 768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.73 : 1,310.73 = 556.70 : x
  2. Step 2: Convert to fraction form
    949.73/1,310.73 = 556.70/x
  3. Step 3: Cross multiply
    949.73x = 1,310.73 × 556.70
  4. Step 4: Simplify right side
    949.73x = 729,683.39
  5. Step 5: Solve for x
    x = 729,683.39/949.73
  6. Step 6: Final answer
    x = 768.31

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Why These Related Problems?

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