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Finding the Fourth Proportional to 918.92, 1,371.64 and 809.54

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Solution

The fourth proportional to 918.92, 1,371.64 and 809.54 is: 1,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.92 : 1,371.64 = 809.54 : x
  2. Step 2: Convert to fraction form
    918.92/1,371.64 = 809.54/x
  3. Step 3: Cross multiply
    918.92x = 1,371.64 × 809.54
  4. Step 4: Simplify right side
    918.92x = 1,110,397.45
  5. Step 5: Solve for x
    x = 1,110,397.45/918.92
  6. Step 6: Final answer
    x = 1,208.37

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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.