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Finding the Fourth Proportional to 1,439.15, 1,986.10 and 809.71

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Solution

The fourth proportional to 1,439.15, 1,986.10 and 809.71 is: 1,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.15 : 1,986.10 = 809.71 : x
  2. Step 2: Convert to fraction form
    1,439.15/1,986.10 = 809.71/x
  3. Step 3: Cross multiply
    1,439.15x = 1,986.10 × 809.71
  4. Step 4: Simplify right side
    1,439.15x = 1,608,169.21
  5. Step 5: Solve for x
    x = 1,608,169.21/1,439.15
  6. Step 6: Final answer
    x = 1,117.45

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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.