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Finding the Fourth Proportional to 1,381.43, 1,906.05 and 783.95

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Solution

The fourth proportional to 1,381.43, 1,906.05 and 783.95 is: 1,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.43 : 1,906.05 = 783.95 : x
  2. Step 2: Convert to fraction form
    1,381.43/1,906.05 = 783.95/x
  3. Step 3: Cross multiply
    1,381.43x = 1,906.05 × 783.95
  4. Step 4: Simplify right side
    1,381.43x = 1,494,247.90
  5. Step 5: Solve for x
    x = 1,494,247.90/1,381.43
  6. Step 6: Final answer
    x = 1,081.67

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