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Finding the Fourth Proportional to 1,150.81, 1,727.09 and 922.46

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Solution

The fourth proportional to 1,150.81, 1,727.09 and 922.46 is: 1,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.81 : 1,727.09 = 922.46 : x
  2. Step 2: Convert to fraction form
    1,150.81/1,727.09 = 922.46/x
  3. Step 3: Cross multiply
    1,150.81x = 1,727.09 × 922.46
  4. Step 4: Simplify right side
    1,150.81x = 1,593,174.53
  5. Step 5: Solve for x
    x = 1,593,174.53/1,150.81
  6. Step 6: Final answer
    x = 1,384.39

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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.