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Finding the Fourth Proportional to 936.70, 1,403.02 and 834.10

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Solution

The fourth proportional to 936.70, 1,403.02 and 834.10 is: 1,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.70 : 1,403.02 = 834.10 : x
  2. Step 2: Convert to fraction form
    936.70/1,403.02 = 834.10/x
  3. Step 3: Cross multiply
    936.70x = 1,403.02 × 834.10
  4. Step 4: Simplify right side
    936.70x = 1,170,258.98
  5. Step 5: Solve for x
    x = 1,170,258.98/936.70
  6. Step 6: Final answer
    x = 1,249.34

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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.