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Finding the Fourth Proportional to 880.71, 1,313.89 and 809.27

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Solution

The fourth proportional to 880.71, 1,313.89 and 809.27 is: 1,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.71 : 1,313.89 = 809.27 : x
  2. Step 2: Convert to fraction form
    880.71/1,313.89 = 809.27/x
  3. Step 3: Cross multiply
    880.71x = 1,313.89 × 809.27
  4. Step 4: Simplify right side
    880.71x = 1,063,295.49
  5. Step 5: Solve for x
    x = 1,063,295.49/880.71
  6. Step 6: Final answer
    x = 1,207.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.