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Finding the Fourth Proportional to 1,171.11, 1,756.85 and 349.28

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Solution

The fourth proportional to 1,171.11, 1,756.85 and 349.28 is: 523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.11 : 1,756.85 = 349.28 : x
  2. Step 2: Convert to fraction form
    1,171.11/1,756.85 = 349.28/x
  3. Step 3: Cross multiply
    1,171.11x = 1,756.85 × 349.28
  4. Step 4: Simplify right side
    1,171.11x = 613,622.04
  5. Step 5: Solve for x
    x = 613,622.04/1,171.11
  6. Step 6: Final answer
    x = 523.97

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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.