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Finding the Fourth Proportional to 1,322.12, 1,982.54 and 774.50

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Solution

The fourth proportional to 1,322.12, 1,982.54 and 774.50 is: 1,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.12 : 1,982.54 = 774.50 : x
  2. Step 2: Convert to fraction form
    1,322.12/1,982.54 = 774.50/x
  3. Step 3: Cross multiply
    1,322.12x = 1,982.54 × 774.50
  4. Step 4: Simplify right side
    1,322.12x = 1,535,469.25
  5. Step 5: Solve for x
    x = 1,535,469.25/1,322.12
  6. Step 6: Final answer
    x = 1,161.37

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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.