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Finding the Fourth Proportional to 1,632.27, 2,448.54 and 809.71

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Solution

The fourth proportional to 1,632.27, 2,448.54 and 809.71 is: 1,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.27 : 2,448.54 = 809.71 : x
  2. Step 2: Convert to fraction form
    1,632.27/2,448.54 = 809.71/x
  3. Step 3: Cross multiply
    1,632.27x = 2,448.54 × 809.71
  4. Step 4: Simplify right side
    1,632.27x = 1,982,607.32
  5. Step 5: Solve for x
    x = 1,982,607.32/1,632.27
  6. Step 6: Final answer
    x = 1,214.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.