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Finding the Fourth Proportional to 1,320.94, 1,982.94 and 773.52

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Solution

The fourth proportional to 1,320.94, 1,982.94 and 773.52 is: 1,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.94 : 1,982.94 = 773.52 : x
  2. Step 2: Convert to fraction form
    1,320.94/1,982.94 = 773.52/x
  3. Step 3: Cross multiply
    1,320.94x = 1,982.94 × 773.52
  4. Step 4: Simplify right side
    1,320.94x = 1,533,843.75
  5. Step 5: Solve for x
    x = 1,533,843.75/1,320.94
  6. Step 6: Final answer
    x = 1,161.18

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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.