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Finding the Fourth Proportional to 1,399.07, 1,930.79 and 809.81

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Solution

The fourth proportional to 1,399.07, 1,930.79 and 809.81 is: 1,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.07 : 1,930.79 = 809.81 : x
  2. Step 2: Convert to fraction form
    1,399.07/1,930.79 = 809.81/x
  3. Step 3: Cross multiply
    1,399.07x = 1,930.79 × 809.81
  4. Step 4: Simplify right side
    1,399.07x = 1,563,565.42
  5. Step 5: Solve for x
    x = 1,563,565.42/1,399.07
  6. Step 6: Final answer
    x = 1,117.58

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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.