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Finding the Fourth Proportional to 1,171.62, 1,616.67 and 984.65

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Solution

The fourth proportional to 1,171.62, 1,616.67 and 984.65 is: 1,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.62 : 1,616.67 = 984.65 : x
  2. Step 2: Convert to fraction form
    1,171.62/1,616.67 = 984.65/x
  3. Step 3: Cross multiply
    1,171.62x = 1,616.67 × 984.65
  4. Step 4: Simplify right side
    1,171.62x = 1,591,846.03
  5. Step 5: Solve for x
    x = 1,591,846.03/1,171.62
  6. Step 6: Final answer
    x = 1,358.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.