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Finding the Fourth Proportional to 1,106.17, 1,659.49 and 376.22

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Solution

The fourth proportional to 1,106.17, 1,659.49 and 376.22 is: 564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.17 : 1,659.49 = 376.22 : x
  2. Step 2: Convert to fraction form
    1,106.17/1,659.49 = 376.22/x
  3. Step 3: Cross multiply
    1,106.17x = 1,659.49 × 376.22
  4. Step 4: Simplify right side
    1,106.17x = 624,336.54
  5. Step 5: Solve for x
    x = 624,336.54/1,106.17
  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.