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Finding the Fourth Proportional to 950.60, 1,423.20 and 641.84

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Solution

The fourth proportional to 950.60, 1,423.20 and 641.84 is: 960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.60 : 1,423.20 = 641.84 : x
  2. Step 2: Convert to fraction form
    950.60/1,423.20 = 641.84/x
  3. Step 3: Cross multiply
    950.60x = 1,423.20 × 641.84
  4. Step 4: Simplify right side
    950.60x = 913,466.69
  5. Step 5: Solve for x
    x = 913,466.69/950.60
  6. Step 6: Final answer
    x = 960.94

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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.