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Finding the Fourth Proportional to 913.66, 1,367.90 and 827.15

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Solution

The fourth proportional to 913.66, 1,367.90 and 827.15 is: 1,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.66 : 1,367.90 = 827.15 : x
  2. Step 2: Convert to fraction form
    913.66/1,367.90 = 827.15/x
  3. Step 3: Cross multiply
    913.66x = 1,367.90 × 827.15
  4. Step 4: Simplify right side
    913.66x = 1,131,457.77
  5. Step 5: Solve for x
    x = 1,131,457.77/913.66
  6. Step 6: Final answer
    x = 1,238.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.