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Finding the Fourth Proportional to 1,399.30, 1,930.90 and 809.83

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Solution

The fourth proportional to 1,399.30, 1,930.90 and 809.83 is: 1,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.30 : 1,930.90 = 809.83 : x
  2. Step 2: Convert to fraction form
    1,399.30/1,930.90 = 809.83/x
  3. Step 3: Cross multiply
    1,399.30x = 1,930.90 × 809.83
  4. Step 4: Simplify right side
    1,399.30x = 1,563,700.75
  5. Step 5: Solve for x
    x = 1,563,700.75/1,399.30
  6. Step 6: Final answer
    x = 1,117.49

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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.