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Finding the Fourth Proportional to 1,216.89, 1,677.92 and 950.81

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Solution

The fourth proportional to 1,216.89, 1,677.92 and 950.81 is: 1,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.89 : 1,677.92 = 950.81 : x
  2. Step 2: Convert to fraction form
    1,216.89/1,677.92 = 950.81/x
  3. Step 3: Cross multiply
    1,216.89x = 1,677.92 × 950.81
  4. Step 4: Simplify right side
    1,216.89x = 1,595,369.97
  5. Step 5: Solve for x
    x = 1,595,369.97/1,216.89
  6. Step 6: Final answer
    x = 1,311.02

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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.