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Finding the Fourth Proportional to 1,439.17, 1,986.22 and 809.72

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Solution

The fourth proportional to 1,439.17, 1,986.22 and 809.72 is: 1,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.17 : 1,986.22 = 809.72 : x
  2. Step 2: Convert to fraction form
    1,439.17/1,986.22 = 809.72/x
  3. Step 3: Cross multiply
    1,439.17x = 1,986.22 × 809.72
  4. Step 4: Simplify right side
    1,439.17x = 1,608,282.06
  5. Step 5: Solve for x
    x = 1,608,282.06/1,439.17
  6. Step 6: Final answer
    x = 1,117.51

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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.