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Finding the Fourth Proportional to 863.69, 1,301.90 and 813.51

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Solution

The fourth proportional to 863.69, 1,301.90 and 813.51 is: 1,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.69 : 1,301.90 = 813.51 : x
  2. Step 2: Convert to fraction form
    863.69/1,301.90 = 813.51/x
  3. Step 3: Cross multiply
    863.69x = 1,301.90 × 813.51
  4. Step 4: Simplify right side
    863.69x = 1,059,104.60
  5. Step 5: Solve for x
    x = 1,059,104.60/863.69
  6. Step 6: Final answer
    x = 1,226.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.