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Finding the Fourth Proportional to 1,106.81, 1,660.10 and 376.30

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Solution

The fourth proportional to 1,106.81, 1,660.10 and 376.30 is: 564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.81 : 1,660.10 = 376.30 : x
  2. Step 2: Convert to fraction form
    1,106.81/1,660.10 = 376.30/x
  3. Step 3: Cross multiply
    1,106.81x = 1,660.10 × 376.30
  4. Step 4: Simplify right side
    1,106.81x = 624,687.33
  5. Step 5: Solve for x
    x = 624,687.33/1,106.81
  6. Step 6: Final answer
    x = 564.41

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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.