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Finding the Fourth Proportional to 912.62, 1,361.81 and 814.46

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Solution

The fourth proportional to 912.62, 1,361.81 and 814.46 is: 1,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.62 : 1,361.81 = 814.46 : x
  2. Step 2: Convert to fraction form
    912.62/1,361.81 = 814.46/x
  3. Step 3: Cross multiply
    912.62x = 1,361.81 × 814.46
  4. Step 4: Simplify right side
    912.62x = 1,109,135.00
  5. Step 5: Solve for x
    x = 1,109,135.00/912.62
  6. Step 6: Final answer
    x = 1,215.33

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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.