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Finding the Fourth Proportional to 1,311.57, 1,808.09 and 938.41

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Solution

The fourth proportional to 1,311.57, 1,808.09 and 938.41 is: 1,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.57 : 1,808.09 = 938.41 : x
  2. Step 2: Convert to fraction form
    1,311.57/1,808.09 = 938.41/x
  3. Step 3: Cross multiply
    1,311.57x = 1,808.09 × 938.41
  4. Step 4: Simplify right side
    1,311.57x = 1,696,729.74
  5. Step 5: Solve for x
    x = 1,696,729.74/1,311.57
  6. Step 6: Final answer
    x = 1,293.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.