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Finding the Fourth Proportional to 1,380.69, 1,905.23 and 813.43

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Solution

The fourth proportional to 1,380.69, 1,905.23 and 813.43 is: 1,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.69 : 1,905.23 = 813.43 : x
  2. Step 2: Convert to fraction form
    1,380.69/1,905.23 = 813.43/x
  3. Step 3: Cross multiply
    1,380.69x = 1,905.23 × 813.43
  4. Step 4: Simplify right side
    1,380.69x = 1,549,771.24
  5. Step 5: Solve for x
    x = 1,549,771.24/1,380.69
  6. Step 6: Final answer
    x = 1,122.47

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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.