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Finding the Fourth Proportional to 936.96, 1,408.68 and 865.68

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Solution

The fourth proportional to 936.96, 1,408.68 and 865.68 is: 1,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.96 : 1,408.68 = 865.68 : x
  2. Step 2: Convert to fraction form
    936.96/1,408.68 = 865.68/x
  3. Step 3: Cross multiply
    936.96x = 1,408.68 × 865.68
  4. Step 4: Simplify right side
    936.96x = 1,219,466.10
  5. Step 5: Solve for x
    x = 1,219,466.10/936.96
  6. Step 6: Final answer
    x = 1,301.51

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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.