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Finding the Fourth Proportional to 950.70, 1,313.23 and 764.89

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Solution

The fourth proportional to 950.70, 1,313.23 and 764.89 is: 1,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.70 : 1,313.23 = 764.89 : x
  2. Step 2: Convert to fraction form
    950.70/1,313.23 = 764.89/x
  3. Step 3: Cross multiply
    950.70x = 1,313.23 × 764.89
  4. Step 4: Simplify right side
    950.70x = 1,004,466.10
  5. Step 5: Solve for x
    x = 1,004,466.10/950.70
  6. Step 6: Final answer
    x = 1,056.55

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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.