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Finding the Fourth Proportional to 939.09, 1,411.83 and 734.06

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Solution

The fourth proportional to 939.09, 1,411.83 and 734.06 is: 1,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.09 : 1,411.83 = 734.06 : x
  2. Step 2: Convert to fraction form
    939.09/1,411.83 = 734.06/x
  3. Step 3: Cross multiply
    939.09x = 1,411.83 × 734.06
  4. Step 4: Simplify right side
    939.09x = 1,036,371.46
  5. Step 5: Solve for x
    x = 1,036,371.46/939.09
  6. Step 6: Final answer
    x = 1,103.59

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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.