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Finding the Fourth Proportional to 950.06, 1,310.64 and 556.92

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Solution

The fourth proportional to 950.06, 1,310.64 and 556.92 is: 768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.06 : 1,310.64 = 556.92 : x
  2. Step 2: Convert to fraction form
    950.06/1,310.64 = 556.92/x
  3. Step 3: Cross multiply
    950.06x = 1,310.64 × 556.92
  4. Step 4: Simplify right side
    950.06x = 729,921.63
  5. Step 5: Solve for x
    x = 729,921.63/950.06
  6. Step 6: Final answer
    x = 768.29

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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.